Results 1 to 10 of about 167,457 (236)
On the de-Rham cohomology of hyperelliptic curves [PDF]
Research in Number Theory, 2018 For any hyperelliptic curve X, we give an explicit basis of the first de-Rham cohomology of X in terms of \v{C}ech cohomology. We use this to produce a family of curves in characteristic p>2 for which the Hodge-de-Rham short exact sequence does not split
Köck, Bernhard, Tait, Joseph
core +7 more sources
Reconstruction of the stacky approach to de Rham cohomology [PDF]
arXiv, 2022 In this short paper, we use Tannakian reconstruction techniques to prove a result that explains how to reconstruct the stacky approach to de Rham cohomology from the classical theory algebraic de Rham cohomology via an application of the adjoint functor theorem.
Shubhodip Mondal
arxiv +4 more sources
Period sheaves via derived de Rham cohomology [PDF]
Compositio Math. 157 (2021) 2377-2406, 2020 In this article we give an interpretation, in terms of derived de Rham complexes, of Scholze's de Rham period sheaf and Tan--Tong's crystalline period sheaf.
Haoyang Guo, Shizhang Li
arxiv +5 more sources
Exponentially twisted de Rham cohomology and rigid cohomology [PDF]
arXiv, 2021 We prove a comparison theorem between exponentially twisted de Rham cohomology and rigid cohomology with coefficients in a Dwork crystal.
Shizhang Li, Dingxin Zhang
arxiv +3 more sources
On endomorphisms of the de Rham cohomology functor [PDF]
Geometry & Topology, 2021 We compute the moduli of endomorphisms of the de Rham and crystalline cohomology functors, viewed as a cohomology theory on smooth schemes over truncated Witt vectors. As applications of our result, we deduce Drinfeld's refinement of the classical Deligne--Illusie decomposition result for de Rham cohomology of varieties in characteristic $p>0$ that ...
Li, Shizhang, Mondal, Shubhodip
openaire +3 more sources
Long exact sequences for de Rham cohomology of diffeological spaces [PDF]
arXiv, 2014 In this paper we present the notion of de Rham cohomology with compact support for diffeological spaces. Moreover we shall discuss the existence of three long exact sequences. As a concrete example, we show that long exact sequences exist for the de Rham cohomology of diffeological subcartesian spaces.
Haraguchi, Tadayuki
arxiv +3 more sources
De Rham Cohomology of SO(n) by Supersymmetric Quantum Mechanics [PDF]
J.Math.Phys. 38 (1997) 6281-6286, 1996 We give an elementary derivation of the de Rham cohomology of SO(n) in terms of supersymmetric quantum mechanics. Our analysis is based on Witten's Morse theory. We show reflection symmetries of the theory are useful to select true vacuums. The number of the selected vacuums will agree with the de Rham cohomology of SO(n).
Kazuto Oshima, Witten E.
arxiv +5 more sources
The de Rham-Fargues-Fontaine cohomology [PDF]
Algebra & Number Theory, 2021 Minor edits.
Arthur-César Le Bras, Alberto Vezzani
openalex +5 more sources
Dwork cohomology, de Rham cohomology, and hypergeometric functions [PDF]
American Journal of Mathematics, 2000 In the 1960s, Dwork developed a p -adic cohomology theory of de Rham type for varieties over finite fields, based on a trace formula for the action of a Frobenius operator on certain spaces of p -analytic functions. One can consider a purely algebraic analogue of Dwork's theory for varieties over a field of characteristic zero and ask what is the ...
Alan Adolphson, Steven Sperber
openalex +4 more sources
On the de Rham cohomology of solvmanifolds
ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE, 2009 By using results by D. Witte on the superigidity of lattices in solvable Lie groups we get a different proof of a recent remarkable result obtained by D. Guan on the de Rham cohomology of a compact solvmanifold, i.e. of a quotient of a connected and simply connected solvable Lie group $G$ by a lattice $ $.
Sergio Console, Anna Fino
openalex +6 more sources