Hodge tate spectial
NettetThe Hodge-Tate spectral sequence is constructed via a procedure local in the sense of analytic rather than algebraic geometry. The language of rigid analytic spaces let us do … NettetCorrection: The affiliation of Lei Fu is Tsinghua University.I will report on a joint work with Michel Gros providing a generalization of the Hodge-Tate spec...
Hodge tate spectial
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Nettet20. jun. 2024 · We prove that the Hodge-Tate spectral sequence of a proper smooth rigid analytic variety can be reconstructed from its infinitesimal $\mathbb{B}_{\text{dR}}^+$-cohomology through the... Giving Week! Show your support for Open Science by donating to arXiv during Giving Week, April 25th-29th. NettetHONDA-TATE THEORY 3 Theorem 3. If the special bre of S is locally integral then the -ordinary locus is dense in the special bre. We now discuss the problem of classifying A xup to isogeny. For the moduli space of polarized abelian varieties, this is closely related to Honda-Tate theory, which asserts that the isogeny class of an abelian variety ...
Nettet20. nov. 2024 · Let \(K/{\mathbb {Q}}_p\) be a finite unramified extension with residue field k.In this paper we show that if the Hodge–Tate weights of a crystalline representation \(\rho \) of \(G_K\) are sufficiently small then these weights are encoded in an explicit way by the reduction of \(\rho \) modulo p.Using Fontaine–Laffaille theory this is known for … Nettet29. mar. 2024 · The two statements are equivalent by a theorem of Tate ([] theo. 2).Indeed, the cohomology group H 0 (G K, C(1)) vanishes, which implies that the …
http://davidrenshawhansen.com/periodmapmod.pdf NettetThe Relative Hodge–Tate Spectral Sequence: An Overview Ahmed Abbes and Michel Gros 1 Introduction 1.1. Let K be a complete discrete valuation field of characteristic 0, …
Nettetis Hodge-Tate if and only if ˚is a semi-simple operator with eigenvalues in Z. The relation ˚= (˚ 1) implies that generalized eigenspace decomposition of H(L) with respect to the endomorphism ˚gives (H(L); ) a structure of a system of Hodge bundles in the sense of [Sim92, Section 4]. By Proposition 1.2, the condition End X K L = Q
NettetTate spectral sequences is equivalent to that of Hodge-de Rham spectral sequences. 1. Introduction Let X be a proper smooth rigid analytic variety over a complete … oriflame makeup products priceNettet8. mar. 2024 · The relative Hodge-Tate spectral sequence -- an overview. Ahmed Abbes, Michel Gros. We give in this note an overview of a recent work leading to a … how to view cuny application statusNettet1.1 Statement and consequences of the Hodge-Tate decomposition Fix a prime number p. The goal of this series is to explain the p-adic analog of the following classical result, which forms the starting point of Hodge theory. Theorem 1.1.1 (Hodge decomposition). Let X=C be a smooth proper variety. Then there exists a natural isomorphism Hn(Xan;C ... how to view csv in rNettetA NOTE ON HODGE-TATE SPECTRAL SEQUENCES 3 Remark 1.3. The B+ dR-lattices in H i et (X;Q p) Qp B dR are parameterized by the C-points of B dR-a ne Grassmannian GrB dR GLn as de ned in [CS17] de ... oriflame milk and honey moisturizerhttp://virtualmath1.stanford.edu/~conrad/mordellsem/Notes/L10.pdf oriflame milk and honey soap price in indiaNettet3 The Hodge-Tate comparison theorem The first step to obtain a p-adic Hodge theory was made by J. Tate in 1967 [Ta]. Tate showed, by working with p-divisible groups, that, if A is an abelian variety over K which have good reduction over K, then we have a natural isomorphism H1(A,Q p) ⊗Qp C ∼= (H 1(A,Ω0 A/K) ⊗K C(−1)) ⊕(H0(A,Ω1 A/K ... how to view cucm logsNettet115. The Hodge Conjecture states that every Hodge class of a non singular projective variety over C is a rational linear combination of cohomology classes of algebraic cycles: Even though I'm able to understand what it says, and at first glance I do find it a very nice assertion, I cannot grasp yet why it is so relevant as to be considered one ... oriflame makeup foundation