Relevant bibliographies by topics / Brauer groups of schemes

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  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers
  6. Reports

Academic literature on the topic 'Brauer groups of schemes'

Author: Grafiati
Published: 4 June 2021
Last updated: 8 February 2022

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Journal articles on the topic "Brauer groups of schemes"

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Biswas, Indranil, Ajneet Dhillon, and Jacques Hurtubise. "Brauer groups of Quot schemes." Michigan Mathematical Journal 64, no. 3 (September 2015): 493–508. http://dx.doi.org/10.1307/mmj/1441116655.

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Blass, Piotr, and Raymond Hoobler. "Picard and Brauer groups of Zariski schemes." Proceedings of the American Mathematical Society 97, no. 3 (March 1, 1986): 379. http://dx.doi.org/10.1090/s0002-9939-1986-0840613-9.

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Lieblich, Max. "Twisted sheaves and the period-index problem." Compositio Mathematica 144, no. 1 (January 2008): 1–31. http://dx.doi.org/10.1112/s0010437x07003144.

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AbstractWe use twisted sheaves and their moduli spaces to study the Brauer group of a scheme. In particular, we (1) show how twisted methods can be efficiently used to re-prove the basic facts about the Brauer group and cohomological Brauer group (including Gabber’s theorem that they coincide for a separated union of two affine schemes), (2) give a new proof of de Jong’s period-index theorem for surfaces over algebraically closed fields, and (3) prove an analogous result for surfaces over finite fields. We also include a reduction of all period-index problems for Brauer groups of function fields over algebraically closed fields to characteristic zero, which (among other things) extends de Jong’s result to include classes of period divisible by the characteristic of the base field. Finally, we use the theory developed here to give counterexamples to a standard type of local-to-global conjecture for geometrically rational varieties over the function field of the projective plane.
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Lee, Heisook, and Morris Orzech. "Brauer groups and Galois cohomology for a Krull scheme." Journal of Algebra 95, no. 2 (August 1985): 309–31. http://dx.doi.org/10.1016/0021-8693(85)90106-1.

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Iyer, Jaya N. N., and Roy Joshua. "Brauer groups of schemes associated to symmetric powers of smooth projective curves in arbitrary characteristics." Journal of Pure and Applied Algebra 224, no. 3 (March 2020): 1009–22. http://dx.doi.org/10.1016/j.jpaa.2019.06.019.

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Colliot-Thélène, Jean-Louis, and Fei Xu. "Brauer–Manin obstruction for integral points of homogeneous spaces and representation by integral quadratic forms." Compositio Mathematica 145, no. 2 (March 2009): 309–63. http://dx.doi.org/10.1112/s0010437x0800376x.

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AbstractAn integer may be represented by a quadratic form over each ring ofp-adic integers and over the reals without being represented by this quadratic form over the integers. More generally, such failure of a local-global principle may occur for the representation of one integral quadratic form by another integral quadratic form. We show that many such examples may be accounted for by a Brauer–Manin obstruction for the existence of integral points on schemes defined over the integers. For several types of homogeneous spaces of linear algebraic groups, this obstruction is shown to be the only obstruction to the existence of integral points.
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Antieau, Benjamin. "Cohomological obstruction theory for Brauer classes and the period-index problem." Journal of K-theory 8, no. 3 (December 13, 2010): 419–35. http://dx.doi.org/10.1017/is010011030jkt136.

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AbstractLet U be a connected noetherian scheme of finite étale cohomological dimension in which every finite set of points is contained in an affine open subscheme. Suppose that α is a class in H2(Uét,ℂm)tors. For each positive integer m, the K-theory of α-twisted sheaves is used to identify obstructions to α being representable by an Azumaya algebra of rank m2. The étale index of α, denoted eti(α), is the least positive integer such that all the obstructions vanish. Let per(α) be the order of α in H2(Uét,ℂm)tors. Methods from stable homotopy theory give an upper bound on the étale index that depends on the period of α and the étale cohomological dimension of U; this bound is expressed in terms of the exponents of the stable homotopy groups of spheres and the exponents of the stable homotopy groups of B(ℤ/(per(α))). As a corollary, if U is the spectrum of a field of finite cohomological dimension d, then , where [] is the integer part of , whenever per(α) is divided neither by the characteristic of k nor by any primes that are small relative to d.
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Le Bruyn, Lieven, and George Seelinger. "Fibers of Generic Brauer–Severi Schemes." Journal of Algebra 214, no. 1 (April 1999): 222–34. http://dx.doi.org/10.1006/jabr.1998.7656.

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Ma, Qixiao. "Specializing Brauer classes in Picard schemes." Journal of Pure and Applied Algebra 226, no. 2 (February 2022): 106832. http://dx.doi.org/10.1016/j.jpaa.2021.106832.

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Turull, Alexandre. "Characters, Brauer characters, and local Brauer groups." Communications in Algebra 49, no. 1 (July 29, 2020): 85–98. http://dx.doi.org/10.1080/00927872.2020.1793992.

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Dissertations / Theses on the topic "Brauer groups of schemes"

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Lourdeaux, Alexandre. "Sur les invariants cohomologiques des groupes algébriques linéaires." Thesis, Lyon, 2020. http://www.theses.fr/2020LYSE1044.

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Notre thèse s'intéresse aux invariants cohomologiques des groupes algébriques linéaires, lisses et connexes sur un corps quelconque. Plus spécifiquement on étudie les invariants de degré 2 à coefficients dans le complexe de faisceaux galoisiens Q/Z(1), c'est-à-dire des invariants à valeurs dans le groupe de Brauer. Pour se faire on utilise la cohomologie étale des faisceaux sur les schéma simpliciaux. On obtient une description de ces invariants pour tous les groupes linéaires, lisses et connexes, notamment les groupes non réductifs sur un corps imparfait (par exemple les groupes pseudo-réductifs ou unipotents).On se sert de la description établie pour étudier le comportement du groupe des invariants à valeurs dans le groupe de Brauer par des opérations sur les groupes algébriques. On explicite aussi ce groupe d'invariants pour certains groupes algébriques non réductifs sur un corps imparfait
Our thesis deals with the cohomological invariants of smooth and connected linear algebraic groups over an arbitrary field. More precisely, we study degree 2 invariants with coefficients Q/Z(1), that is invariants taking values in the Brauer group. Our main tool is the étale cohomology of sheaves on simplicial schemes. We get a description of these invariants for every smooth and connected linear groups, in particular for non reductive groups over an imperfect field (as pseudo-reductive or unipotent groups for instance).We use our description to investigate how the groups of invariants with values in the Brauer group behave with respect to operations on algebraic groups. We detail this group of invariants for particular non reductive algebraic groups over an imperfect field
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Jahn, Thomas [Verfasser], and Andreas [Akademischer Betreuer] Rosenschon. "Higher Brauer groups / Thomas Jahn. Betreuer: Andreas Rosenschon." München : Universitätsbibliothek der Ludwig-Maximilians-Universität, 2015. http://d-nb.info/1076243266/34.

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Hogan, Ian. "The Brauer Complex and Decomposition Numbers of Symplectic Groups." Kent State University / OhioLINK, 2017. http://rave.ohiolink.edu/etdc/view?acc_num=kent1489766963453771.

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Krashen, Daniel Reuben. "Birational isomorphisms between Severi-Brauer varieties." Access restricted to users with UT Austin EID Full text (PDF) from UMI/Dissertation Abstracts International, 2001. http://wwwlib.umi.com/cr/utexas/fullcit?p3034558.

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Kim, Nguyen. "Explicit arithmetic of Brauer groups ray class fields and index calculus /." [S.l.] : [s.n.], 2001. http://deposit.ddb.de/cgi-bin/dokserv?idn=963601687.

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Nolla, de Celis Álvaro. "Dihedral groups and G-Hilbert schemes." Thesis, University of Warwick, 2008. http://wrap.warwick.ac.uk/2000/.

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Let G ⊂ GL(2,C) be a finite subgroup acting on the complex plane C2, and consider the following diagram C2 -> X <- π:Y where π is the minimal resolution of singularities. Since Du Val in the 1930s the explicit calculation of Y was made from X by blowing up the singularity at the origin, where we lose any information about the group G in the process. But, is there a direct relation between the resolution Y and the group G? McKay [McK80] in the late 1970s was the first to realise the link between the group action and the resolution Y , thus giving birth to the so called McKay correspondence. This beautiful correspondence establishes an equivalence between the geometry of the minimal resolution Y of the quotient singularity C2/G, and the G-equivariant geometry of C2.
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Graber, John Eric Goodman Frederick M. "Cellularity and Jones basic construction." Iowa City : University of Iowa, 2009. http://ir.uiowa.edu/etd/292.

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Götzer, Thomas [Verfasser], and Andreas [Akademischer Betreuer] Rosenschon. "The transcendental part of higher Brauer groups in weight 2 / Thomas Götzer ; Betreuer: Andreas Rosenschon." München : Universitätsbibliothek der Ludwig-Maximilians-Universität, 2017. http://d-nb.info/1126968293/34.

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Crawley-Boevey, W. W. "Polycyclic-by-finite affine group schemes and infinite soluble groups." Thesis, University of Cambridge, 1985. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.372868.

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Wagner, David R. "Schur Rings Over Projective Special Linear Groups." BYU ScholarsArchive, 2016. https://scholarsarchive.byu.edu/etd/6089.

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This thesis presents an introduction to Schur rings (S-rings) and their various properties. Special attention is given to S-rings that are commutative. A number of original results are proved, including a complete classification of the central S-rings over the simple groups PSL(2,q), where q is any prime power. A discussion is made of the counting of symmetric S-rings over cyclic groups of prime power order. An appendix is included that gives all S-rings over the symmetric group over 4 elements with basic structural properties, along with code that can be used, for groups of comparatively small order, to enumerate all S-rings and compute character tables for those S-rings that are commutative. The appendix also includes code optimized for the enumeration of S-rings over cyclic groups.
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Books on the topic "Brauer groups of schemes"

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Brauer groups, Tamagawa measures, and rational points on algebraic varieties. Providence, Rhode Island: American Mathematical Society, 2014.

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Hiss, G. Brauer trees ofsporadic groups. Oxford: Clarendon, 1989.

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Bruyn, Lieven Le. Brauer groups of fields. [Essen: Universität Essen], 1988.

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Hiss, G. Brauer trees of sporadic groups. Oxford: Clarendon Press, 1989.

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Auel, Asher, Brendan Hassett, Anthony Várilly-Alvarado, and Bianca Viray, eds. Brauer Groups and Obstruction Problems. Cham: Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-46852-5.

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service), SpringerLink (Online, ed. Frobenius categories versus Brauer blocks: The Grothendieck group of the Frobenius category of a Brauer block. Basel, Switzerland: Birkhäuser, 2009.

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Brauer type embedding problems. Providence, RI: American Mathematical Society, 2005.

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Caenepeel, Stefaan. Brauer Groups, Hopf Algebras and Galois Theory. Dordrecht: Springer Netherlands, 1998. http://dx.doi.org/10.1007/978-94-015-9038-9.

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Caenepeel, Stefaan. Brauer groups, Hopf algebras, and Galois theory. Dordrecht: Kluwer Academic Publishers, 1998.

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Snaith, V. P. Explicit Brauer induction: With applications to algebra and number theory. Cambridge: Cambridge University Press, 1994.

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Book chapters on the topic "Brauer groups of schemes"

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Tignol, Jean-Pierre, and Adrian R. Wadsworth. "Brauer Groups." In Springer Monographs in Mathematics, 239–96. Cham: Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-16360-4_6.

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Sánchez, M. V. Reyes, and A. Verschoren. "Involutive Brauer groups." In K-Monographs in Mathematics, 148–87. Dordrecht: Springer Netherlands, 1999. http://dx.doi.org/10.1007/978-94-009-0015-8_4.

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Hahn, Alexander J. "Brauer Groups and Witt Groups." In Quadratic Algebras, Clifford Algebras, and Arithmetic Witt Groups, 194–222. New York, NY: Springer US, 1994. http://dx.doi.org/10.1007/978-1-4684-6311-8_15.

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Jahnel, Jörg. "On the Brauer group of a scheme." In Mathematical Surveys and Monographs, 83–117. Providence, Rhode Island: American Mathematical Society, 2014. http://dx.doi.org/10.1090/surv/198/04.

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Brzezinski, J. "Brauer-severi schemes of orders." In Orders and their Applications, 18–49. Berlin, Heidelberg: Springer Berlin Heidelberg, 1985. http://dx.doi.org/10.1007/bfb0074791.

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Schneider, Peter. "The Brauer Character." In Modular Representation Theory of Finite Groups, 87–96. London: Springer London, 2013. http://dx.doi.org/10.1007/978-1-4471-4832-6_3.

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Schneider, Peter. "The Cartan–Brauer Triangle." In Modular Representation Theory of Finite Groups, 43–86. London: Springer London, 2013. http://dx.doi.org/10.1007/978-1-4471-4832-6_2.

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Jantzen, Jens. "Schemes." In Representations of Algebraic Groups, 3–18. Providence, Rhode Island: American Mathematical Society, 2007. http://dx.doi.org/10.1090/surv/107/01.

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Jantzen, Jens. "Schubert schemes." In Representations of Algebraic Groups, 353–64. Providence, Rhode Island: American Mathematical Society, 2007. http://dx.doi.org/10.1090/surv/107/23.

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Méliot, Pierre-Loïc. "Hecke algebras and the Brauer–Cartan theory." In Representation Theory of Symmetric Groups, 149–216. Boca Raton : CRC Press, 2017.: Chapman and Hall/CRC, 2017. http://dx.doi.org/10.1201/9781315371016-6.

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Conference papers on the topic "Brauer groups of schemes"

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Frey, Gerhard. "Discrete Logarithms, Duality, and Arithmetic in Brauer Groups." In Proceedings of the First SAGA Conference. WORLD SCIENTIFIC, 2008. http://dx.doi.org/10.1142/9789812793430_0012.

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Ranjan, Pratik, and Hari Om. "Cryptanalysis of braid groups based authentication schemes." In 2015 1st International Conference on Next Generation Computing Technologies (NGCT). IEEE, 2015. http://dx.doi.org/10.1109/ngct.2015.7375155.

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Kostoulas, D., D. Psaltoulis, I. Gupta, K. Birman, and A. Demers. "Decentralized Schemes for Size Estimation in Large and Dynamic Groups." In Fourth IEEE International Symposium on Network Computing and Applications. IEEE, 2005. http://dx.doi.org/10.1109/nca.2005.15.

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Miyamoto, Izumi. "Computing normalizers of permutation groups efficiently using isomorphisms of association schemes." In the 2000 international symposium. New York, New York, USA: ACM Press, 2000. http://dx.doi.org/10.1145/345542.345637.

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Sandhu, Ravinderpal S., and Michael E. Share. "Some Owner Based Schemes With Dynamic Groups In The Schematic Protection Model." In 1986 IEEE Symposium on Security and Privacy. IEEE, 1986. http://dx.doi.org/10.1109/sp.1986.10005.

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Liu, Weiran, Xiao Liu, Qianhong Wu, and Bo Qin. "Experimental performance comparisons between (H)IBE schemes over composite-order and prime-order bilinear groups." In 2014 11th International Bhurban Conference on Applied Sciences and Technology (IBCAST). IEEE, 2014. http://dx.doi.org/10.1109/ibcast.2014.6778146.

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Yip-Hoi, Derek, and Debasish Dutta. "Finding Minimum Cost Tool Grouping Schemes on Machining Systems." In ASME 1997 Design Engineering Technical Conferences. American Society of Mechanical Engineers, 1997. http://dx.doi.org/10.1115/detc97/cie-4270.

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Abstract Changing worn tools is a major concern in planning operations on machining systems. Strategies for replacing tools range from changing each tool as it reaches its projected tool life, to changing all tools when the tool with the shortest life on the machining system is expended. Intermediate strategies involve changing tools in groups. Each of these strategies has two cost components associated with it: (1) the cost of lost production due to machine tool stoppage, and (2) the cost of unused tool life. The best tool grouping strategy minimizes the combined cost of lost production. In this paper we present an approach for finding good tool grouping strategies from inputs that include the tool utilization for a given machining application, and the tooling and machining system costs. A genetic algorithm is used as the underlying optimization paradigm for finding the minimum cost strategy. An example is presented for a part produced on a machining center.
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Nascimento, Marcelo Gouveia, Gabriel Nicolas Garcia Alves, Marco Antonio Bueno Filho, and Rodrigo Luiz Oliveira Rodrigues Cunha. "A FLASH OF CONSTRUCTION SCHEMES COLLECTIVE IN THE CLASSROOM INVOLVING THE FIELD STRUCTURAL MOLECULAR." In 1st International Baltic Symposium on Science and Technology Education. Scientia Socialis Ltd., 2015. http://dx.doi.org/10.33225/balticste/2015.74.

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This study aims to access information about how college students collectively build action schemes in structural molecular level. The research had two situations presented to six students and Bachelor Degree in Chemistry from the Federal University of ABC involving content on Liquid Chromatography. The speeches of students organized in groups were recorded in audiovisual and subjected to Textual Analysis Discourse and grounded in the theory of Conceptual Fields (Vergnaud, 1996). The results were assessed, evidence of the collective construction of a scheme characterized by relevant conceptual relationships at the molecular structural field, but incomplete. Key words: theory of conceptual fields, collective schemes, chemical bonds.
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Kuzlyakina, Valentina V., and Jury N. Slepenko. "Automation of Structuring and Research of Lever Mechanisms Kinematics." In ASME 2007 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2007. http://dx.doi.org/10.1115/detc2007-34612.

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The procedure of lever mechanisms structuring being the basis of the majority of mechanical systems is complicated and labor-consuming. The generalized structural modules allow to automate and repeatedly to speed up process of lever mechanisms schemes creation and research of their kinematics in the specialized system “Visual Structure Editor (VSE)”. Ten types of generalized structural modules are offered, which allow to create schemes and to investigate kinematics of lever mechanisms of the second class of any degree of complexity. In this work structuring of various flat mechanisms schemes with any possible number of members based on only 5 types of generalized structural groups is presented. These are a rotating initial link, an onward moving link, a two-driver group with three rotary kinematics couples and two-driver groups with two rotary and one external forward kinematics couples of two types. VSE is broadly used in education process when performing the course designing on engineering discipline.
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Bryceson, Kim. "Marking Schemes for an Authentic Group Project, Trial by Statistics - A Case Study." In Sixth International Conference on Higher Education Advances. Valencia: Universitat Politècnica de València, 2020. http://dx.doi.org/10.4995/head20.2020.11159.

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This study is an analysis of two different marking schemes for an ‘authentic’ Group Project worth 50% of a first year undergraduate university agribusiness course at The University of Queensland (UQ). A number of different marking schemes for the Group Project had been trialled over the last ten years in an effort to obtain an equitable method of marking individual students doing the Group Project. In 2019, a marking scheme for the Group Project that had been successfully used previously was advertised for 2019 prior to the commencement of semester. However, issues during the semester within some of the Groups meant that students requested a Peer Evaluation marking scheme be employed. Eventually, for a class of 105 students, both marking schemes were used in assessing students’ work and a Pearson Correlation coefficient was run on the results of the final project mark to determine how equivalent the two marking schemes were. A good correlation (0.75) between the two schemes was returned, which was also reflected in a good correlation in the comparison for the final overall mark for the whole course (0.87). These statistical results suggest that there is a good argument for the existing marking scheme to continue to be used rather than a peer evaluation, which can have behavioural issues associated with it that are difficult to resolve.
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Reports on the topic "Brauer groups of schemes"

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Keane, Claire, Karina Doorley, and Dora Tuda. COVID-19 and the Irish welfare system. ESRI, June 2021. http://dx.doi.org/10.26504/bp202201.

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COVID-19 had, and continues to have, a strong negative effect on incomes in Ireland due to widespread job losses as the measures put in place to slow the spread of the disease resulted in severe economic restrictions. Despite the existence of unemployment supports, additional income supports were introduced to protect incomes. As public health restrictions lift and the economy recovers, we face the withdrawal of such supports. We examine these supports and the role they played in supporting incomes. By profiling those who benefitted most from the new schemes, we highlight the groups most at risk of significant income losses as they wind down. We consider what gaps in the social welfare system necessitated the introduction of such schemes in the first place, along with potential future policy changes to ensure that the social welfare system can provide adequate income protection and financial incentives to work as we emerge from the COVID-19 crisis.
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