Results 1 to 10 of about 355,706 (139)
A remark on crystalline cohomology [PDF]
Mathematische ZeitschriftAbstract We propose a new approach to crystalline cohomology based on the observation that one can lift smooth algebras uniquely “up to coherent homotopy.”
Kerz, Moritz, Tamme, Georg
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The Exact Poincaré Lemma in Crystalline Cohomology of Higher Level [PDF]
Journal of Algebra, 2001 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Adolfo Quiros Gracian, Bernard le Stum
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On the crystalline cohomology of Deligne–Lusztig varieties
Finite Fields and Their Applications, 2007 Let $X\to Y^0$ be an abelian prime-to-$p$ Galois covering of smooth schemes over a perfect field $k$ of characteristic $p>0$. Let $Y$ be a smooth compactification of $Y^0$ such that $Y-Y^0$ is a normal crossings divisor on $Y$. We describe a logarithmic $F$-crystal on $Y$ whose rational crystalline cohomology is the rigid cohomology of $X$, in ...
Elmar Grosse-Klönne
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Delta characters and crystalline cohomology
Cambridge Journal of MathematicsUpdated version, appeared in Cambridge Journal of Mathematics.
Arnab Saha
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Specialization of crystalline cohomology
Duke Mathematical Journal, 1986 Let \(f: X\to S\) be a proper smooth morphism of schemes over a perfect field of characteristic \(p\). Using the theory of convergent isocrystals, it is shown that the Newton polygons of the \({\mathbb{Q}}\otimes H^ i_{cris}(X_ s/W(s))\) (the relative crystalline cohomology of a fiber) are constant along the strata of a suitable stratification of A and
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Etale and crystalline companions, I [PDF]
Épijournal de Géométrie Algébrique, 2022 Let $X$ be a smooth scheme over a finite field of characteristic $p$. Consider the coefficient objects of locally constant rank on $X$ in $\ell$-adic Weil cohomology: these are lisse Weil sheaves in \'etale cohomology when $\ell \neq p$, and ...
Kiran S. Kedlaya
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Dieudonné theory via cohomology of classifying stacks
Forum of Mathematics, Sigma, 2021 We prove that if G is a finite flat group scheme of p-power rank over a perfect field of characteristic p, then the second crystalline cohomology of its classifying stack $H^2_{\text {crys}}(BG)$ recovers the Dieudonné module of G.
Shubhodip Mondal
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Generalized Lieb-Schultz-Mattis theorem on bosonic symmetry protected topological phases
SciPost Physics, 2021 We propose and prove a family of generalized Lieb-Schultz-Mattis (LSM) theorems for symmetry protected topological (SPT) phases on boson/spin models in any dimensions. The "conventional" LSM theorem, applicable to e.g. any translation invariant system
Shenghan Jiang, Meng Cheng, Yang Qi, Yuan-Ming Lu
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Journal of High Energy Physics, 2021 For symmorphic crystalline interacting gapped systems we derive a classification under adiabatic evolution. This classification is complete for non-degenerate ground states.
Daniel Sheinbaum, Omar Antolín Camarena
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SERRE WEIGHTS AND BREUIL’S LATTICE CONJECTURE IN DIMENSION THREE
Forum of Mathematics, Pi, 2020 We prove in generic situations that the lattice in a tame type induced by the completed cohomology of a $U(3)$-arithmetic manifold is purely local, that is, only depends on the Galois representation at places above $p$. This is a generalization to $\text{
DANIEL LE +3 more
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