Results 61 to 70 of about 355,706 (139)
Equivariant crystalline cohomology and base change [PDF]
Proceedings of the American Mathematical Society, 2006 Given a perfect field k k of characteristic p > 0 p>0 , a smooth proper k k -scheme Y Y , a crystal E E on Y Y relative to W ( k ) W(k) and a finite group G G
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Duality in the cohomology of crystalline local systems [PDF]
Compositio Mathematica, 1997 Let $k$ be a perfect field of a positive characteristic $p, K$ – the fraction field of the ring of Witt vectors $W(k)$ . Let $X$ be a smooth and proper scheme over
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The integer cohomology of toric Weyl arrangements [PDF]
A toric arrangement is a finite set of hypersurfaces in a complex torus, every hypersurface being the kernel of a character. In the present paper we prove that if T(W) is the toric arrangement defined by the cocharacters lattice of a Weyl group W, then ...
Simona Settepanella
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Crystalline cohomology over general bases
, 2020 Building on ideas of Berthelot, we develop a crystalline cohomology formalism over divided power rings $(A, I_0, η)$ for any ring $A$, allowing $\mathbf{Z}$-flat $A$. For a smooth $A$-scheme $Y$ and a closed subscheme $X$ of $Y$ for which $η$ extends to $I_0 \mathscr{O}_X$, a (quasi-coherent) crystal $\mathscr{F}$ on $(X/A)_{\rm{cris}}$ is equivalent ...
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Symplectic manifolds and cohomological decomposition [PDF]
, 2012 Given a closed symplectic manifold, we study when the Lefschetz decomposition induced by the $\mathfrak{sl}(2;\mathbb{R})$-representation yields a decomposition of the de Rham cohomology.
Daniele Angella +3 more
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Ordinary varieties with trivial canonical bundle are not uniruled. [PDF]
Math Ann, 2021 Patakfalvi Z, Zdanowicz M.
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Unusual Mathematical Approaches Untangle Nervous Dynamics. [PDF]
Biomedicines, 2022 Tozzi A, Mariniello L.
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Cycle classes and Riemann-Roch for crystalline cohomology
Duke Mathematical Journal, 1987 Succinctly put this article proves the existence of a good cycle class map into crystalline cohomology tensored with the rationals, and consequently that the latter is a ``Weil cohomology theory''. (This has also been proved - independently - by Gros.) More precisely the cycle class map is constructed using Chern classes so in order to prove ...
Gillet, Henri, Messing, William
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Twisted Poincare duality for some quadratic Poisson algebras [PDF]
, 2007 We exhibit a Poisson module restoring a twisted Poincaré duality between Poisson homology and cohomology for the polynomial algebra R=C[X1Xn] endowed with Poisson bracket arising from a uniparametrised quantum affine space.
Stéphane Launois +3 more
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On the regularity conjecture for the cohomology of finite groups [PDF]
, 2008 Non peer ...
Benson, David J., David J. Benson
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