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Relevant bibliographies by topics / Hodge theory

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Academic literature on the topic 'Hodge theory'

Author: Grafiati

Published: 4 June 2021

Last updated: 28 July 2024

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Journal articles on the topic "Hodge theory"

1

Sabbah, Claude, and Jeng-Daw Yu. "Irregular Hodge Theory." Mémoires de la Société mathématique de France 156 (2018): 1–131. http://dx.doi.org/10.24033/msmf.464.

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Barbieri-Viale, Luca. "Formal Hodge Theory." Mathematical Research Letters 14, no. 3 (2007): 385–94. http://dx.doi.org/10.4310/mrl.2007.v14.n3.a3.

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Ito, Tetsushi. "Stringy Hodge numbers and p-adic Hodge theory." Compositio Mathematica 140, no. 06 (2004): 1499–517. http://dx.doi.org/10.1112/s0010437x04001095.

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Katzarkov, L., T. Pantev, and B. Toën. "Schematic homotopy types and non-abelian Hodge theory." Compositio Mathematica 144, no. 3 (2008): 582–632. http://dx.doi.org/10.1112/s0010437x07003351.

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AbstractWe use Hodge theoretic methods to study homotopy types of complex projective manifolds with arbitrary fundamental groups. The main tool we use is the schematization functor$X \mapsto (X\otimes \mathbb {C})^{\mathrm {sch}}$, introduced by the third author as a substitute for the rationalization functor in homotopy theory in the case of non-simply connected spaces. Our main result is the construction of a Hodge decomposition on $(X\otimes \mathbb {C})^{\mathrm {sch}}$. This Hodge decomposition is encoded in an action of the discrete group $\mathbb {C}^{\times \delta }$ on the object $(X\

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Faltings, Gerd. "p-Adic Hodge Theory." Journal of the American Mathematical Society 1, no. 1 (1988): 255. http://dx.doi.org/10.2307/1990970.

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Adiprasito, Karim, June Huh, and Eric Katz. "Hodge Theory of Matroids." Notices of the American Mathematical Society 64, no. 01 (2017): 26–30. http://dx.doi.org/10.1090/noti1463.

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Baker, Matthew. "Hodge theory in combinatorics." Bulletin of the American Mathematical Society 55, no. 1 (2017): 57–80. http://dx.doi.org/10.1090/bull/1599.

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GRIFFITHS, PHILLIP. "HODGE THEORY AND GEOMETRY." Bulletin of the London Mathematical Society 36, no. 06 (2004): 721–57. http://dx.doi.org/10.1112/s0024609304003728.

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Faltings, Gerd. "$p$-adic Hodge theory." Journal of the American Mathematical Society 1, no. 1 (1988): 255. http://dx.doi.org/10.1090/s0894-0347-1988-0924705-1.

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Pridham, Jonathan. "Analytic nonabelian Hodge theory." Geometry & Topology 21, no. 2 (2017): 841–902. http://dx.doi.org/10.2140/gt.2017.21.841.

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Dissertations / Theses on the topic "Hodge theory"

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Hao, Feng. "Limiting Mixed Hodge Theory and Nonabelian Hodge Theory for Nodal Curves." Thesis, Purdue University, 2018. http://pqdtopen.proquest.com/#viewpdf?dispub=10844977.

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<p> This thesis contains two parts. </p><p> In the first part, we will give the Deligne 1-motives up to isogeny corresponding to the <b>Q</b>-limit mixed Hodge structures of semi-stable degenerations of curves, using logarithmic structures and Steenbrink’s cohomological mixed Hodge complexes associated to semi-stable degenerations of curves. </p><p> In the second part, we study the nonableian Hodge theory for nodal curves, construct a “Dolbeault moduli spaces” M<sub>Dol</sub>(<i> X,m</i>) for Higgs bundles on nodal curves, and give the formality theorem for local systems

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Fatighenti, Enrico. "Hodge theory in Grassmannians." Thesis, University of Warwick, 2017. http://wrap.warwick.ac.uk/98276/.

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In this thesis we study several generalisations of the Griffiths’s residue technique. We first show how the deformation modules Ti of the affine cone over a smooth projective variety X contain the Hodge groups of X as homogeneous slices. We discuss several applications, mainly in the Birational Geometry of Q-Fano threefolds. We then investigate the case of subvarieties of the Grassmannian Gr(k, n). For an hypersurfaces (or a complete intersection) X in the Grassmannian Gr(k, n) we are able to explicitly construct a Griffiths ring that allows us to compute all the Hodge groups Hp,q(X). We then

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Cirici, Joana. "Homotopical Aspects of Mixed Hodge Theory." Doctoral thesis, Universitat de Barcelona, 2012. http://hdl.handle.net/10803/108950.

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In the present work, we analyse the categories of mixed Hodge complexes and mixed Hodge diagrams of differential graded algebras in these two directions: we prove the existence of both a Cartan-Eilenberg structure, via the construction of cofibrant minimal models, and a cohomological descent structure. This allows to interpret the results of Deligne, Beilinson, Morgan and Navarro within a common homotopical framework. In the additive context of mixed Hodge complexes we recover Beilinson's results. In our study we go a little further and show that the homotopy category of mixed Hodge complex

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Monni, Stefano. "String theory, Hurwitz numbers, and Hodge integrals." Thesis, University of Cambridge, 2001. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.621358.

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Bai, Chenyu. "Hodge Theory, Algebraic Cycles of Hyper-Kähler Manifolds." Electronic Thesis or Diss., Sorbonne université, 2024. http://www.theses.fr/2024SORUS081.

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Cette thèse est consacrée à l'étude des cycles algébriques dans les variétés hyper-Kähleriennes projectives et les variétés de Calabi-Yau strictes. Elle contribue à la compréhension des conjectures de Beauville et de Voisin sur les anneaux de Chow des variétés hyper-kählériennes projectives et des variétés de Calabi-Yau strictes. Elle étudie également certains invariants birationnels des variétés hyper-kählériennes projectives.La première partie de la thèse, parue dans Mathematische Zeitschrift [C. Bai, On Abel-Jacobi maps of Lagrangian families, Math. Z. 304, 34 (2023)] et présentée dans le c

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Mboro, René. "Birational invariants : cohomology, algebraic cycles and Hodge theory cohomologie." Thesis, Université Paris-Saclay (ComUE), 2017. http://www.theses.fr/2017SACLX049/document.

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Dans cette thèse, nous étudions certains invariants birationnels des variétés projectives lisses, en lien avec les questions de rationalité de ces variétés. Elle se compose de trois chapitres qui peuvent être lus indépendamment.Dans le premier chapitre, nous étudions, pour certaines familles de variétés, certains invariants birationnels stables, nuls pour l'espace projectif, apparaissant naturellement avec les formules de Manin. D'une part, nous montrons que l'invariant birationnel qu'est le groupe des cycles de torsion de codimension 3 contenus dans le noyau de l'application classe de cycle d

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Shamoto, Yota. "Hodge-Tate conditions for Landau-Ginzburg models." Kyoto University, 2018. http://hdl.handle.net/2433/232220.

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Schnell, Christian. "The boundary behavior of cohomology classes and singularities of normal functions." Columbus, Ohio : Ohio State University, 2008. http://rave.ohiolink.edu/etdc/view?acc%5Fnum=osu1218036000.

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Patimo, Leonardo [Verfasser]. "Hodge theoretic aspects of Soergel bimodules and representation theory / Leonardo Patimo." Bonn : Universitäts- und Landesbibliothek Bonn, 2018. http://d-nb.info/1153467178/34.

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Martin, Nicolas. "Convolution intermédiaire et théorie de Hodge." Thesis, Université Paris-Saclay (ComUE), 2018. http://www.theses.fr/2018SACLX040/document.

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Cette thèse est constituée de deux parties complètement indépendantes.Dans une première partie, nous montrons que la paire de Fourier-Mukai (X,Y) issue de la correspondance double miroir Pfaffienne-Grassmannienne vérifie l'identité ([X]-[Y])L^6=0 dans l'anneau de Grothendieck, où L est la classe de la droite affine. Ce résultat est un raffinement d'un théorème de Borisov par la suppression d'un facteur, qui montre que la classe de la droite affine est un diviseur de zéro dans l'anneau de Grothendieck, et fournit par ailleurs un premier exemple intéressant de variétés D-équivalentes qui sont L-

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Books on the topic "Hodge theory"

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Cattani, Eduardo, Aroldo Kaplan, Francisco Guillén, and Fernando Puerta, eds. Hodge Theory. Springer Berlin Heidelberg, 1987. http://dx.doi.org/10.1007/bfb0077524.

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Bhatt, Bhargav, and Martin Olsson, eds. p-adic Hodge Theory. Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-43844-9.

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1938-, Griffiths Phillip, and Kerr Matthew D. 1975-, eds. Hodge theory, complex geometry, and representation theory. Published for the Conference Board of the Mathematical Sciences by the American Mathematical Society, 2013.

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Doran, Robert, Greg Friedman, and Scott Nollet, eds. Hodge Theory, Complex Geometry, and Representation Theory. American Mathematical Society, 2014. http://dx.doi.org/10.1090/conm/608.

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Kerr, Matt, and Gregory Pearlstein, eds. Recent Advances in Hodge Theory. Cambridge University Press, 2016. http://dx.doi.org/10.1017/cbo9781316387887.

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Green, Mark L., Jacob P. Murre, and Claire Voisin. Algebraic Cycles and Hodge Theory. Edited by Fabio Bardelli and Alberto Albano. Springer Berlin Heidelberg, 1994. http://dx.doi.org/10.1007/b52495.

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Tata Institute of Fundamental Research, ed. Motivic aspects of Hodge theory. Narosa Publishing House, 2010.

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M, Steenbrink J. H., ed. Mixed hodge structures. Springer, 2008.

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Lewis, James Dominic. A survey of the Hodge conjecture. 2nd ed. American Mathematical Society, 1999.

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Zein, Fouad El. Introduction à la théorie de Hodge mixte. Hermann, 1991.

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Book chapters on the topic "Hodge theory"

1

Cattani, Eduardo. "Chapter One. Introduction to Kähler Manifolds." In Hodge Theory. Princeton University Press, 2014. http://dx.doi.org/10.1515/9781400851478.1.

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Zein, Fouad El, and Lê Dũng Tráng. "Chapter Three. Mixed Hodge Structures." In Hodge Theory. Princeton University Press, 2014. http://dx.doi.org/10.1515/9781400851478.123.

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Carlson, James. "Chapter Four. Period Domains and Period Mappings." In Hodge Theory. Princeton University Press, 2014. http://dx.doi.org/10.1515/9781400851478.217.

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Cataldo, Mark Andrea de, and Luca Migliorini. "Chapter Five. The Hodge Theory of Maps." In Hodge Theory. Princeton University Press, 2014. http://dx.doi.org/10.1515/9781400851478.257.

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Cataldo, Mark Andrea de, and Luca Migliorini. "Chapter Six The Hodge Theory of Maps Lectures 4–5 by Mark Andrea de Cataldo." In Hodge Theory. Princeton University Press, 2014. http://dx.doi.org/10.1515/9781400851478.273.

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Cattani, Eduardo. "Chapter Seven. Introduction to Variations of Hodge Structure." In Hodge Theory. Princeton University Press, 2014. http://dx.doi.org/10.1515/9781400851478.297.

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Brosnan, Patrick, and Fouad El Zein. "Chapter Eight. Variations of Mixed Hodge Structure." In Hodge Theory. Princeton University Press, 2014. http://dx.doi.org/10.1515/9781400851478.333.

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Murre, Jacob. "Chapter Nine. Lectures on Algebraic Cycles and Chow Groups." In Hodge Theory. Princeton University Press, 2014. http://dx.doi.org/10.1515/9781400851478.410.

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Green, Mark L. "Chapter Ten. The Spread Philosophy in the Study of Algebraic Cycles." In Hodge Theory. Princeton University Press, 2014. http://dx.doi.org/10.1515/9781400851478.449.

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Charles, François, and Christian Schnell. "Chapter Eleven. Notes on Absolute Hodge Classes." In Hodge Theory. Princeton University Press, 2014. http://dx.doi.org/10.1515/9781400851478.469.

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Conference papers on the topic "Hodge theory"

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Peters, C. A. M., and J. H. M. Steenbrink. "Hodge Theory: the search for purity." In Proceedings of the Trieste Singularity Summer School and Workshop. WORLD SCIENTIFIC, 2007. http://dx.doi.org/10.1142/9789812706812_0017.

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BERGERON, NICOLAS. "HODGE THEORY AND CYCLE THEORY OF LOCALLY SYMMETRIC SPACES." In International Congress of Mathematicians 2018. WORLD SCIENTIFIC, 2019. http://dx.doi.org/10.1142/9789813272880_0079.

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GEYER, B., and D. MÜLSCH. "AN ABELIAN COHOMOLOGICAL THEORY OF HODGE TYPE." In Proceedings of the MG10 Meeting held at Brazilian Center for Research in Physics (CBPF). World Scientific Publishing Company, 2006. http://dx.doi.org/10.1142/9789812704030_0338.

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Shimada, Ichiro. "Vanishing cycles, the generalized Hodge Conjecture and Gröbner bases." In Geometric Singularity Theory. Institute of Mathematics Polish Academy of Sciences, 2004. http://dx.doi.org/10.4064/bc65-0-15.

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Kedlaya, Kiran Sridhara. "Relative p-adic Hodge Theory and Rapoport-Zink Period Domains." In Proceedings of the International Congress of Mathematicians 2010 (ICM 2010). Published by Hindustan Book Agency (HBA), India. WSPC Distribute for All Markets Except in India, 2011. http://dx.doi.org/10.1142/9789814324359_0050.

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Gebhart, Thomas, Xiaojun Fu, and Russell J. Funk. "Go with the Flow? A Large-Scale Analysis of Health Care Delivery Networks in the United States Using Hodge Theory." In 2021 IEEE International Conference on Big Data (Big Data). IEEE, 2021. http://dx.doi.org/10.1109/bigdata52589.2021.9671805.

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Weber, E., T. A. Haas, J. Hirsh, and M. R. Buchanan. "RELATIONSHIP BETWEEN VESSEL WALL 13-HODE PRODUCTION AND SUBENDOTHELIAL BASEMENT MEMBRANE THROMBORESISTANCE: INFLUENCE OF SALICYLATE." In XIth International Congress on Thrombosis and Haemostasis. Schattauer GmbH, 1987. http://dx.doi.org/10.1055/s-0038-1643949.

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In previous studies, we have reported that i) the basement membrane (BM) underlying endothelial cells was initially throm-boresistant; ii) 13-hydroxyoctadecadienoic acid (13-HODE) synthesized by endothelial cells from linoleic acid via the lipoxygenase pathway, contributed to the thromboresistance of the endothelium; and iii) salicylate (SAL) increased injured vessel wall thrombogenecity. Therefore, we performed studies to determine the relationship between injured vessel wall thrombogenecity, vessel wall 13-HODE and cAMP levels, and salicylate treatment. Injured vessel wall thrombogenecity wa

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Buchanan, M. R., E. Bastida, J. Aznar-Salatti, and P. de Groot. "IS THE ENDOTHELIAL EXTRACELLULAR MATRIX THROMBOGENIC OR THROMBORESISTANT? EFFECT OF PREPARATION AND 13-HODE LEVELS." In XIth International Congress on Thrombosis and Haemostasis. Schattauer GmbH, 1987. http://dx.doi.org/10.1055/s-0038-1643562.

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It is generally thought that the extracellular matrix (ECM) is thrombogenic.However,one of us (MRB) has reported that the ECM is thromboresistant,and postulated that this was due to the release of endothelial cell (EC) 13-hydroxyoctadecadienoic acid (13-HODE) into the ECM. To test this possibility, we measured platelet adhesion (PLT ADH) onto cultured ECs and their ECMs exposed by 3 methods. We also extracted the ECMs for HPLC analysis of 13-HODE.PLT ADH was expressed as i)adhesion of 3H-adenine labelled platelets/mm2 of ECs or ECMs under static conditions, and ii) % surface^ area coverage mea

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Hofmeister, Thomas, Tobias Hummel, Bruno Schuermans, and Thomas Sattelmayer. "Quantification of Energy Transformation Processes Between Acoustic and Hydrodynamic Modes in Non-Compact Thermoacoustic Systems via a Helmholtz-Hodge Decomposition Approach." In ASME Turbo Expo 2019: Turbomachinery Technical Conference and Exposition. American Society of Mechanical Engineers, 2019. http://dx.doi.org/10.1115/gt2019-90240.

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Abstract Solutions of the Linearized Euler Equations (LEE) are composed of acoustic, entropy and vortical perturbation types. The excitation of the latter can be provoked by a transformation of acoustic into rotational energy, which originates from the interaction between acoustics and a mean flow shear-layer. This is known as acoustically induced vortex shedding and represents the phenomenon of interest in this study. In the field of thermoacoustics, numerical eigenfrequency simulations with the LEE have moved into focus to determine the acoustic damping rates associated with vortex shedding

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Niemiec, Robert, and Farhan Gandhi. "Development and Validation of the Rensselaer Multicopter Analysis Code (RMAC): a Physics-Based Comprehensive Modeling Tool." In Vertical Flight Society 75th Annual Forum & Technology Display. The Vertical Flight Society, 2019. http://dx.doi.org/10.4050/f-0075-2019-14539.

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A comprehensive analysis tool (RMAC) is developed and validated for use on small-scale multi-rotor aircraft. RMAC can model multicopters with arbitrary rotor number, orientation, and position as a 6-DOF rigid-body dynamic system. Several induced-flow models, from momentum-theory to vortex-wake are available for rotor aerodynamic analysis, and rotor dynamics can optionally be modeled using the Hodges-Dowell equations. RMAC is capable of determining trim conditions, as well as generate linear models and provide nonlinear simulation in Simulink. Isolated rotor loads are validated against experime

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