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https://arxiv.org/pdf/math/0208027
Finiteness of rigid cohomology with coefficients ... Then the rigid cohomology spaces with compact supports Hi c,rig (X/K,E) are finite dimensional K-vector spaces for all i. Theorem 1.2.3 (Poincar´e duality). Let E/K be an overconvergent F-isocrystal on a smooth k-scheme X of pure dimension d.Author: Kiran S. Kedlaya
http://www.math.unipd.it/~maurizio/mathps/PDfADRC.pdf
cohomology and homology groups for singular schemes over a eld Kof characteristic zero. He proved a global Poincar e duality theorem in the proper case. Naturally, one expects to have a notion of (algebraic) \De Rham cohomology with compact supports" Poincar e dual to …
https://www.math.uni-bielefeld.de/documenta/vol-kato/tsuzuki.dm.pdf
On Base Change Theorem and Coherence in Rigid Cohomology Nobuo Tsuzuki1 Received: October 10, 2002 Revised: February 5, 2003 Abstract. We prove that the base change theorem in rigid coho-mology holds when the rigid cohomology sheaves both for the given morphism and for its base extension morphism are coherent. Apply-Cited by: 19
https://arxiv.org/pdf/1205.4702.pdf
RIGID COHOMOLOGY AND DE RHAM-WITT COMPLEXES PIERRE BERTHELOT Abstract. Let kbe a perfect field of characteristic p>0, W n = W n(k). For separated k-schemes of finite type, we explain how rigid cohomology with compact supports can be computed as the cohomology of certain de Rham-Witt complexes with coefficients. This result generalizes the clas-
https://link.springer.com/chapter/10.1007/978-3-663-09991-8_6
In this chapter we will define cohomology with compact support for rigid analytic varieties and adic spaces. Let me give a summary of this definition.Author: Roland Huber
https://en.wikipedia.org/wiki/Rigid_cohomology
More generally one can define rigid cohomology with compact supports, or with support on a closed subscheme, or with coefficients in an overconvergent isocrystal. If X is smooth and proper over k the rigid cohomology groups are the same as the crystalline cohomology groups. The name "rigid cohomology" comes from its relation to rigid analytic ...
https://link.springer.com/chapter/10.1007/978-3-663-09991-8_6
In this chapter we will define cohomology with compact support for rigid analytic varieties and adic spaces. Let me give a summary of this definition.Author: Roland Huber
https://link.springer.com/chapter/10.1007/978-3-319-30951-4_4
Apr 28, 2016 · Lazda C., Pál A. (2016) The Overconvergent Site, Descent, and Cohomology with Compact Support. In: Rigid Cohomology over Laurent Series Fields. Algebra and Applications, vol 21.Author: Christopher Lazda, Ambrus Pál
https://thesis.library.caltech.edu/11598/
We study two conjectures introduced by Flach and Morin in [FM18] for schemes over a perfect field of characteristic p > 0. The first conjecture relates a p -adic extension of the étale motivic cohomology with compact support on general schemes introduced by Geisser in [Gei06] to rigid cohomology with compact support, and is proved here.Author: Nathaniel Lawless Hughes
https://thesis.library.caltech.edu/11598/8/LawlessHughesNathaniel2019.pdf
extension of the étale motivic cohomology with compact support on general schemes introduced by Geisser in [Gei06] to rigid cohomology with compact support, and is proved here. The second, relates a p-adic Borel-Moore mo-tivic homology with the dual of rigid cohomology with compact support, and
https://arxiv.org/abs/1912.13030
Dec 30, 2019 · If you have a disability and are having trouble accessing information on this website or need materials in an alternate format, contact [email protected] for [email protected] for assistance.Author: Kai-Wen Lan, Ruochuan Liu, Xinwen Zhu
http://www.gbv.de/dms/goettingen/211917222.pdf
0 Etale cohomology of rigid analytic varieties (summary) 1 0.1 The etale site of a rigid analytic variety 1 0.2 Cohomology of constant sheaves 1 0.3 Base change theorems 7 0.4 Cohomology with compact support 10 0.5 Finiteness 19 0.6 Poincare Duality 22 0.7 Comparison theorems 23 1 Adic spaces 36 1.1 Definition of adic spaces 36
https://arxiv.org/pdf/math/0208027
Finiteness of rigid cohomology with coefficients ... Then the rigid cohomology spaces with compact supports Hi c,rig (X/K,E) are finite dimensional K-vector spaces for all i. Theorem 1.2.3 (Poincar´e duality). Let E/K be an overconvergent F-isocrystal on a smooth k-scheme X of pure dimension d.Author: Kiran S. Kedlaya
http://citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.108.4974&rep=rep1&type=pdf
Another property of rigid cohomology with compact suport which we will make use of is that if U → X is an open immersion of F q-varieties and Z:= X \ U denotes the closed complement, then rigid cohomology with compact support gives rise to a long exactcohomology sequence ··· −→ Hi rig, c (U) −→ H i rig,c (X) −→ H i rig,c (Z ...
http://www.math.unipd.it/~maurizio/mathps/PDfADRC.pdf
cohomology and homology groups for singular schemes over a eld Kof characteristic zero. He proved a global Poincar e duality theorem in the proper case. Naturally, one expects to have a notion of (algebraic) \De Rham cohomology with compact supports" Poincar e …
http://people.maths.ox.ac.uk/lauder/papers/JALauderDec17.pdf
q), rigid co-homology with compact support, where Q q is the unramified extension of Q p of degree log p(q). Rigid cohomology has an explicit description in terms of de Rham complexes. This allows one to compute the required matrices. Specifi-cally, first one observes that Frob q =Frob log p(q) p,whereFrob p is the absolute Frobenius map.
https://www.springer.com/gp/book/9783319309507
In this monograph, the authors develop a new theory of p-adic cohomology for varieties over Laurent series fields in positive characteristic, based on Berthelot's theory of rigid cohomology. Many major fundamental properties of these cohomology groups are proven, such as finite dimensionality
http://assets.cambridge.org/97805218/75240/index/9780521875240_index.pdf
rigid cohomology with compact support on a virtual frame, 240 rigid cohomology with support on a closed variety on a virtual frame, 240 Robba fibre, 167 Robba ring, 122 Robba ring at a point, 137 saturated integral monoid, 307 saturated submodule, 305 sections with support outside an admissible
http://www.mathcs.emory.edu/~dzb/math/papers/davidBrownThesis.pdf
Rigid Cohomology for Algebraic Stacks by David Michael Brown Doctor of Philosophy in Mathematics University of California, Berkeley Professor Kenneth Ribet, Chair We extend le Stum’s construction of the overconvergent site [lS09] to algebraic stacks. We prove that etale morphisms are morphisms of cohomological descent for nitely presnted
https://www.sciencedirect.com/science/article/abs/pii/S0764444298801225
We show that crystalline cohomology is pure for smooth proper varieties and that rigid cohomology with compact support is mixed for arbitrary algebraic varieties.
https://www.univie.ac.at/EMIS/journals/JTNB/2005-1/pages169-180.pdf
q), rigid cohomology with compact support, where Q q is the unramified extension of Q pof degree log (q). Rigid cohomology has an explicit description in terms of de Rham complexes. This allows one to compute the required matrices. Specifically, first one observes that Frob q = Frob log p(q) p, where Frob p is the absolute Frobenius map. The ...
https://www.cambridge.org/core/services/aop-cambridge-core/content/view/B0522D1EDDB60D290C2ACDC84E00A17B/S0010437X06002533a.pdf/on_witt_vector_cohomology_for_singular_varieties.pdf
Compositio Math. 143 (2007) 363–392 doi:10.1112/S0010437X06002533 On Witt vector cohomology for singular varieties Pierre Berthelot, Spencer Bloch and H´el`ene ...
https://www.math.uni-bielefeld.de/documenta/vol-kato/tsuzuki.dm.pdf
On Base Change Theorem and Coherence in Rigid Cohomology Nobuo Tsuzuki1 Received: October 10, 2002 Revised: February 5, 2003 Abstract. We prove that the base change theorem in rigid coho-mology holds when the rigid cohomology sheaves both for the given morphism and for its base extension morphism are coherent. Apply-
http://www.gbv.de/dms/goettingen/211917222.pdf
0 Etale cohomology of rigid analytic varieties (summary) 1 0.1 The etale site of a rigid analytic variety 1 0.2 Cohomology of constant sheaves 1 0.3 Base change theorems 7 0.4 Cohomology with compact support 10 0.5 Finiteness 19 0.6 Poincare Duality 22 0.7 Comparison theorems 23 1 Adic spaces 36 1.1 Definition of adic spaces 36
https://www.mathi.uni-heidelberg.de/fg-sga/docs/sem-venjakob-ss2013.pdf
de nes a p-adic cohomology theory, rigid cohomology (and a version with compact support), which seems reasonable (as we shall see) for any variety, and which generalizes crystalline cohomology in the smooth proper case and Monsky-Washnitzer cohomology in the smooth a ne case. The role of coe cients is played by so-called overconvergent
https://www.researchgate.net/publication/227193693_Pentes_en_cohomologie_rigide_et_F-isocristaux_unipotents
We explain how to construct a cohomology theory on the category of separated quasi-compact smooth rigid spaces over $\mathbf{C}_p$ (or more general base fields), taking values in the category of ...
https://en.wikipedia.org/wiki/Category:Cohomology_theories
Pages in category "Cohomology theories" The following 45 pages are in this category, out of 45 total. This list may not reflect recent changes ().
https://www.math.unipd.it/~ernesto/gruppo/BrixenCohomology/MenuTitles/chiarbru3.pdf
M-W cohomology is just a particular case of the Rigid one. But it contains all the ingredients. It is a de Rham type cohomology. And this will give us also a hint of how to work out the case non smooth for the de Rham cohomology (i.e. Hartshorne "de Rham Cohomology", IHES 1975). We want to justify the construction of M-W with an example. 1 ...
https://www.math.uchicago.edu/~bloch/slope051012.pdf
morphism from rigid cohomology with compact supports to Witt vector cohomology with compact supports, and we prove that it provides an identification between the latter and the slope < 1 part of the former. Over a finite field, this allows one to compute con- ... notion of Witt vector cohomology spaces with compact support for U.
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