Relevant bibliographies by topics / Cech cohomology

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  1. Journal articles
  2. Dissertations / Theses
  3. Book chapters

Academic literature on the topic 'Cech cohomology'

Author: Grafiati
Published: 4 June 2021
Last updated: 25 July 2025

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Journal articles on the topic "Cech cohomology"

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Edmundo, M. J., and N. J. Peatfield. "O-MINIMAL CECH COHOMOLOGY." Quarterly Journal of Mathematics 59, no. 2 (2007): 213–20. http://dx.doi.org/10.1093/qmath/ham036.

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Honkasalo, Hannu. "A Cech type construction for equivariant cohomology." Annales Academiae Scientiarum Fennicae Series A I Mathematica 15 (1990): 307–18. http://dx.doi.org/10.5186/aasfm.1990.1515.

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Morrow, Margaret. "An algebraic construction for integral Cech cohomology." Journal of Pure and Applied Algebra 105, no. 3 (1995): 299–305. http://dx.doi.org/10.1016/0022-4049(94)00149-9.

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Grosse-Klönne, Elmar. "The Cech filtration and monodromy in log crystalline cohomology." Transactions of the American Mathematical Society 359, no. 6 (2007): 2945–72. http://dx.doi.org/10.1090/s0002-9947-07-04138-4.

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Escudero, Juan García. "Integer Cech cohomology of a class of n-dimensional substitutions." Mathematical Methods in the Applied Sciences 34, no. 5 (2010): 587–94. http://dx.doi.org/10.1002/mma.1382.

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Tian, R. "THE EXPLICIT CALCULATION OF CECH COHOMOLOGY AND AN EXTENSION OF DAVENPORT'S INEQUALITY." Quarterly Journal of Mathematics 64, no. 2 (2012): 591–618. http://dx.doi.org/10.1093/qmath/has012.

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Caro Tuesta, Napoleón, Sofía Irena Durán Quiñones, and Wilfredo Mendoza Quispe. "Una teoría de cohomología local generalizada." Pesquimat 24, no. 2 (2021): 13–33. http://dx.doi.org/10.15381/pesquimat.v24i2.21674.

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En este trabajo introducimos ciertos funtores de cohomología local que generalizan los estudiados en [9]. Demostramos que sus módulos de cohomología local pueden ser obtenidos como los módulos de cohomología de un complejo de Cech generalizado. También proponemos una noción de homología local. En este contexto probamos que la homología local de un módulo Matlis reflexivo (en el sentido de [2]) se puede expresar como el límite inverso de determinados módulos Tor.
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Chacón, Erick, Silvia Nagy, and Chris D. White. "Alternative formulations of the twistor double copy." Journal of High Energy Physics 2022, no. 3 (2022). http://dx.doi.org/10.1007/jhep03(2022)180.

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Abstract The classical double copy relating exact solutions of biadjoint scalar, gauge and gravity theories continues to receive widespread attention. Recently, a derivation of the exact classical double copy was presented, using ideas from twistor theory, in which spacetime fields are mapped to Cech cohomology classes in twistor space. A puzzle remains, however, in how to interpret the twistor double copy, in that it relies on somehow picking special representatives of each cohomology class. In this paper, we provide two alternative formulations of the twistor double copy using the more widel
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Gähler, Franz, John R. Hunton, and Johannes Kellendonk. "Integer Cech cohomology of icosahedral projection tilings." Zeitschrift für Kristallographie 223, no. 11-12 (2008). http://dx.doi.org/10.1524/zkri.2008.1070.

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Lee, Seung Jin. "Pieri rule for the affine flag variety." Discrete Mathematics & Theoretical Computer Science DMTCS Proceedings, 27th..., Proceedings (2015). http://dx.doi.org/10.46298/dmtcs.2517.

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International audience We prove the affine Pieri rule for the cohomology of the affine flag variety conjectured by Lam, Lapointe, Morse and Shimozono. We study the cap operator on the affine nilHecke ring that is motivated by Kostant and Kumar’s work on the equivariant cohomology of the affine flag variety. We show that the cap operators for Pieri elements are the same as Pieri operators defined by Berg, Saliola and Serrano. This establishes the affine Pieri rule. Nous prouvons la règle affine Pieri pour la cohomologie de la variété affine de drapeau conjecturé par Lam, Lapointe, Morse et Shim
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Dissertations / Theses on the topic "Cech cohomology"

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Combe, Noémie. "On a new cell decomposition of a complement of the discriminant variety : application to the cohomology of braid groups." Thesis, Aix-Marseille, 2018. http://www.theses.fr/2018AIXM0140.

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Cette thèse concerne principalement deux objets classiques étroitement liés: d'une part la variété des polynômes complexes unitaires de degré $d>1$ à une variable, et à racines simples (donc de discriminant différent de zéro), et d'autre part, les groupes de tresses d'Artin avec d brins. Le travail présenté dans cette thèse propose une nouvelle approche permettant des calculs cohomologiques explicites à coefficients dans n'importe quel faisceau. En vue de calculs cohomologiques explicites, il est souhaitable d'avoir à sa disposition un bon recouvrement au sens de Čech. L'un des principaux o
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Silva, Junior Soares da. "Introdução à cohomologia de De Rham." Universidade de São Paulo, 2017. http://www.teses.usp.br/teses/disponiveis/55/55135/tde-16112017-101825/.

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Começamos definindo a cohomologia clássica de De Rham e provamos alguns resultados que nos permitem calcular tal cohomologia de algumas variedades diferenciáveis. Com o intuito de provar o Teorema de De Rham, escolhemos fazer a demonstração utilizando a noção de feixes, que se mostra como uma generalização da ideia de cohomologia. Como a cohomologia de De Rham não é a única que se pode definir numa variedade, a questão da unicidade dá origem a teoria axiomática de feixes, que nos dará uma cohomologia para cada feixe dado. Mostraremos que a partir da teoria axiomática de feixes obtemos cohomolo
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Neyra, Norbil Leodan Cordova. "Teorida de G-índice e grau de aplicações G-equivariantes." Universidade de São Paulo, 2010. http://www.teses.usp.br/teses/disponiveis/55/55135/tde-22062010-091958/.

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Antes da publicação do trabalho An ideal-valued cohomological index theory with applications to Borsuk-Ulam and Bourgin-Yang theorems\"de Fadell e Husseini [20], haviam sido apenas considerados índices numéricos de G-espaços, nos casos G =\'Z IND. 2\' e G um grupo finito. No entanto, tais índices numéricos são obviamente insuficientes no caso de grupos mais complexos, como por exemplo a 1-esfera \'S POT. 1\'. Neste contexto, Fadell e Husseini introduziram o chamado Indice cohomológico de valor ideal: a cada G-espaço X paracompacto, eles associaram um ideal \'Ind POT. G\' (X;K) do anel de coh
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Silva, Nelson Antonio. "Uma versão parametrizada do teorema de Borsuk-Ulam." Universidade de São Paulo, 2011. http://www.teses.usp.br/teses/disponiveis/55/55135/tde-12042011-082846/.

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O teorema clássico de Borsuk-Ulam nos dá informações à respeito de aplicações \'S POT. n\' \'SETA\' \'R POT. n\', no qual \'S POT. n\' é um \'Z IND. 2\' -espaço livre. O teorema afirma que existe pelo menos uma órbita que é enviada em um único ponto em \'R POT. n\'. Dold [9] estendeu este problema para o contexto de fibrados, considerando aplicações f : S (E) \'SETA\' \'E POT. \'prime\'\' nos quais preservam fibras; aqui, S (E) denota o espaço total do fibrado em esfera sobre B associado ao fibrado vetorial E \'SETA\' B e \'E POT. \'prime\'\' \'SETA\' B é o outro fibrado vetorial. O obje
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Zheng, Angelina. "Comparison theorems of GAGA type and Serre duality." Master's thesis, Alma Mater Studiorum - Università di Bologna, 2018. http://amslaurea.unibo.it/16410/.

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Nella tesi si studiano le varietà algebriche e in particolare quelle proiettive. Data una varietà algebrica definita sul campo complesso con la topologia di Zariski, si analizza la corrispondenza tra le proprietà topologiche di separatezza, completezza e irriducibilità e, rispettivamente, l'essere Hausdoff, la compattezza e la connessione dello spazio analitico associato. In particolare si dimostra che lo spazio proiettivo, e di conseguenza tutte le varietà proiettive, sono separate e complete. Si generalizza inoltre la nozione di varietà a quella di schema e si calcola la coomologia di fasc
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Taneda, Paulo Takashi. "Teoria de Nielsen de raízes e teoria do grau de Hopf." Universidade de São Paulo, 2007. http://www.teses.usp.br/teses/disponiveis/45/45131/tde-04062007-204158/.

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Neste trabalho, veremos que a noção de número de Nielsen pode ser estendida para aplicações entre variedades topológicas não necessariamente orientáveis ou compactas, com ou sem fronteira.<br>In this work, we are going to see that the concept of Nilsen Root Number can be extended to maps between not necessarily orientable nor compact manifolds, with or without boundary.
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Tête, Claire. "Profondeur, dimension et résolutions en algèbre commutative : quelques aspects effectifs." Thesis, Poitiers, 2014. http://www.theses.fr/2014POIT2288/document.

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Cette thèse d'algèbre commutative porte principalement sur la théorie de la profondeur. Nous nous efforçons d'en fournir une approche épurée d'hypothèse noethérienne dans l'espoir d'échapper aux idéaux premiers et ceci afin de manier des objets élémentaires et explicites. Parmi ces objets, figurent les complexes algébriques de Koszul et de Cech dont nous étudions les propriétés cohomologiques grâce à des résultats simples portant sur la cohomologie du totalisé d'un bicomplexe. Dans le cadre de la cohomologie de Cech, nous avons établi la longue suite exacte de Mayer-Vietoris avec un traitement
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Yang, Haibo. "Ro(g)-graded equivariant cohomology theory and sheaves." Thesis, 2008. http://hdl.handle.net/1969.1/ETD-TAMU-2346.

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If G is a nite group and if X is a G-space, then a Bredon RO(G)-graded equivariantcohomology theory is dened on X. Furthermore, if X is a G-manifold, thereexists a natural Čech hypercohomology theory on X. While Bredon RO(G)-gradedcohomology is important in the theoretical aspects, the Čech cohomology is indispensablewhen computing the cohomology groups. The purpose of this dissertation is toconstruct an isomorphism between these two types of cohomology theories so that theinterplay becomes deeper between the theory and concretely computing cohomologygroups of classical objects. Also, with the
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Tshilombo, Mukinayi Hermenegilde. "Cohomologies on sympletic quotients of locally Euclidean Frolicher spaces." Thesis, 2015. http://hdl.handle.net/10500/19942.

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This thesis deals with cohomologies on the symplectic quotient of a Frölicher space which is locally diffeomorphic to a Euclidean Frölicher subspace of Rn of constant dimension equal to n. The symplectic reduction under consideration in this thesis is an extension of the Marsden-Weinstein quotient (also called, the reduced space) well-known from the finite-dimensional smooth manifold case. That is, starting with a proper and free action of a Frölicher-Lie-group on a locally Euclidean Frölicher space of finite constant dimension, we study the smooth structure and the topology induced on a
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Book chapters on the topic "Cech cohomology"

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Liu, Qing, and Reinie Erné. "Coherent sheaves and Cech cohomology." In Algebraic Geometry and Arithmetic Curves. Oxford University PressOxford, 2002. http://dx.doi.org/10.1093/oso/9780198502845.003.0005.

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Abstract The notion of quasi-coherent sheaves in algebraic geometry was introduced by J.-P. Serre ([85]). These are sheaves which are in some sense ‘locally constant’ with respect to the structural sheaf. They are the analogues of modules over a ring. The theory of quasi-coherent sheaves and their cohomology groups is a powerful tool for studying schemes.
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