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pro vyhledávání: '"$p$-adic cohomology"'
Akademický článek
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Autor:
de Vries, Victor
In this document we consider an exact sequence of group varieties $e\to N\to G\to Q\to e$ over an algebraically closed field. We show that for $l\neq \mathrm{char}(k)$ a prime there exists an isomorphism of graded $\mathbb{Q}_l$-algebras $\mathrm{H}_
Externí odkaz:
http://arxiv.org/abs/2312.03501
Akademický článek
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Autor:
de Vries, Victor
Publikováno v:
Indagationes Mathematicae; Nov2024, Vol. 35 Issue 6, p1185-1196, 12p
We build a unified framework for the study of monodromy operators and weight filtrations of cohomology theories for varieties over a local field. As an application, we give a streamlined definition of Hyodo-Kato cohomology without recourse to log-geo
Externí odkaz:
http://arxiv.org/abs/2306.05099
Autor:
Merici, Alberto
We construct an integral $p$-adic cohomology that compares with rigid cohomology after inverting $p$. Our approach is based on the log-Witt differentials of Hyodo-Kato and log-\'etale motives of Binda-Park-{\O}stv{\ae}r. In case $k$ satisfies resolut
Externí odkaz:
http://arxiv.org/abs/2211.14303
Autor:
Scavia, Federico, Suzuki, Fumiaki
Publikováno v:
Forum of Mathematics, Sigma, Volume 11, 2023, e6
Jannsen asked whether the rational cycle class map in continuous $\ell$-adic cohomology is injective, in every codimension for all smooth projective varieties over a field of finite type over the prime field. As recently pointed out by Schreieder, th
Externí odkaz:
http://arxiv.org/abs/2208.06713
Autor:
Esnault, Hélène, Wan, Daqing
v2: For a projective variety defined over a finite field with $q$ elements, it is shown that as algebraic integers, the eigenvalues of the geometric Frobenius acting on $\ell$-adic cohomology have higher than known $q$-divisibility beyond the middle
Externí odkaz:
http://arxiv.org/abs/2201.06013
For open and singular varieties in positive characteristic p we study the existence of an integral p-adic cohomology theory which is finitely generated, compatible with log crystalline cohomology and rationally compatible with rigid cohomology. We de
Externí odkaz:
http://arxiv.org/abs/2105.11009
Autor:
Abe, Tomoyuki, Crew, Richard
In this paper, we show the non-existence of finitely generated integral $p$-adic cohomology which satisfies finite \'etale descent and the associated rational cohomology coincides with rigid cohomology.
Externí odkaz:
http://arxiv.org/abs/2108.07608