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Relevant bibliographies by topics / Cohomology with compact support

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Journal articles

Academic literature on the topic 'Cohomology with compact support'

Author: Grafiati

Published: 4 June 2021

Last updated: 18 February 2022

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Journal articles on the topic "Cohomology with compact support"

1

Chatel, Gweltaz, and David Lubicz. "A Point Counting Algorithm Using Cohomology with Compact Support." LMS Journal of Computation and Mathematics 12 (2009): 295–325. http://dx.doi.org/10.1112/s1461157000001534.

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AbstractWe describe an algorithm to count the number of rational points of an hyperelliptic curve defined over a finite field of odd characteristic which is based upon the computation of the action of the Frobenius morphism on a basis of the Monsky-Washnitzer cohomology with compact support. This algorithm follows the vein of a systematic exploration of potential applications of cohomology theories to point counting.Our algorithm decomposes in two steps. A first step which consists of the computation of a basis of the cohomology and then a second step to obtain a representation of the Frobeniu

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2

García-Calcines, J. M., P. R. García-Díaz, and A. Murillo. "Brown representability for exterior cohomology and cohomology with compact supports." Journal of the London Mathematical Society 90, no. 1 (2014): 184–96. http://dx.doi.org/10.1112/jlms/jdu024.

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3

Nizioł, Wiesława. "On uniqueness of p-adic period morphisms, II." Compositio Mathematica 156, no. 9 (2020): 1915–64. http://dx.doi.org/10.1112/s0010437x20007344.

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We prove equality of the various rational $p$-adic period morphisms for smooth, not necessarily proper, schemes. We start with showing that the $K$-theoretical uniqueness criterion we had found earlier for proper smooth schemes extends to proper finite simplicial schemes in the good reduction case and to cohomology with compact support in the semistable reduction case. It yields the equality of the period morphisms for cohomology with compact support defined using the syntomic, almost étale, and motivic constructions. We continue with showing that the $h$-cohomology period morphism agrees with

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4

Yang, Wu. "On Duality for Cohomology with Compact Supports." Moscow University Mathematics Bulletin 76, no. 1 (2021): 41–43. http://dx.doi.org/10.3103/s0027132221010083.

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5

Xue, Cong. "Cuspidal cohomology of stacks of shtukas." Compositio Mathematica 156, no. 6 (2020): 1079–151. http://dx.doi.org/10.1112/s0010437x20007058.

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Let $G$ be a connected split reductive group over a finite field $\mathbb{F}_{q}$ and $X$ a smooth projective geometrically connected curve over $\mathbb{F}_{q}$. The $\ell$-adic cohomology of stacks of $G$-shtukas is a generalization of the space of automorphic forms with compact support over the function field of $X$. In this paper, we construct a constant term morphism on the cohomology of stacks of shtukas which is a generalization of the constant term morphism for automorphic forms. We also define the cuspidal cohomology which generalizes the space of cuspidal automorphic forms. Then we s

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6

V�j�itu, Viorel. "Cohomology with compact supports for cohomologically q -convex spaces." Archiv der Mathematik 80, no. 5 (2003): 496–500. http://dx.doi.org/10.1007/s00013-003-0496-7.

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7

Edmundo, Mário J., and Luca Prelli. "Invariance of o-minimal cohomology with definably compact supports." Confluentes Mathematici 7, no. 1 (2016): 35–53. http://dx.doi.org/10.5802/cml.17.

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8

Forni, Giovanni. "Homology and cohomology with compact supports forq-convex spaces." Annali di Matematica Pura ed Applicata 159, no. 1 (1991): 229–54. http://dx.doi.org/10.1007/bf01766303.

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9

Petersen, Dan. "Cohomology of generalized configuration spaces." Compositio Mathematica 156, no. 2 (2019): 251–98. http://dx.doi.org/10.1112/s0010437x19007747.

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Let $X$ be a topological space. We consider certain generalized configuration spaces of points on $X$, obtained from the cartesian product $X^{n}$ by removing some intersections of diagonals. We give a systematic framework for studying the cohomology of such spaces using what we call ‘twisted commutative dg algebra models’ for the cochains on $X$. Suppose that $X$ is a ‘nice’ topological space, $R$ is any commutative ring, $H_{c}^{\bullet }(X,R)\rightarrow H^{\bullet }(X,R)$ is the zero map, and that $H_{c}^{\bullet }(X,R)$ is a projective $R$-module. We prove that the compact support cohomolo

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10

CHAPOTON, F. "ON THE NUMBER OF POINTS OVER FINITE FIELDS ON VARIETIES RELATED TO CLUSTER ALGEBRAS." Glasgow Mathematical Journal 53, no. 1 (2010): 141–51. http://dx.doi.org/10.1017/s0017089510000777.

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AbstractWe start here the study of some algebraic varieties related to cluster algebras. These varieties are defined as the fibres of the projection map from the cluster variety to the affine space of coefficients. We compute the number of points over finite fields on these varieties, for all simply laced Dynkin diagrams. We also compute the cohomology with compact support in some cases.

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