Hodge tate spectral
NettetThe analogous p-adic Hodge theory of p-adic algebraic varieties was initiated by Tate in the 1960s and subsequently completed by Fontaine-Messing, Faltings, Kato, Tsuji, Niziol and Beilinson. Tate asked in his original paper whether the theory worked not only for p -adic varieties but for the wider class of p -adic rigid-analytic spaces, which are the p … Nettet14. apr. 2016 · Proof Let be any prime. We have a Hochschild-Serre spectral sequence which computes the cohomology of the classical Shimura variety using the cohomology of the perfectoid Shimura variety .It follows that for some .On the other hand, the Leray spectral sequence for the Hodge-Tate period map gives Therefore Since everything is …
Hodge tate spectral
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Nettet21. des. 2024 · There is a related notion of the Shafarevich-Tate group associated to a Lagrangian fibration. Its connected component of unity can be shown to be isomorphic to $\mathbb C/\Lambda$ where $\Lambda$ is a finitely generated subgroup of $\mathbb C$ and $\mathbb C$ is thought of as the base of the Shafarevich-Tate family. NettetAhmed Abbes's 34 research works with 431 citations and 687 reads, including: Correspondance de Simpson p-adique II : fonctorialit\'e par image directe propre et syst\`emes locaux de Hodge-Tate
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 … Nettet8. mar. 2024 · This book presents two important results in p-adic Hodge theory following the approach initiated by Faltings, namely (i) his main p-adic comparison theorem, and (ii) the Hodge-Tate spectral sequence. We establish for each of these results two versions, an absolute one and a relative one.
Nettet11. jun. 2024 · Correction: 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...
Nettet6. aug. 2024 · Abstract. In this paper we study the derivatives of Frobenius and the derivatives of Hodge—Tate weights for families of Galois representations with triangulations. We generalize the Fontaine—Mazur \mathcal {L} -invariant and use it to build a formula which is a generalization of the Colmez—Greenberg—Stevens formula.
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... cecil brewer staircase wikipediaNettet5. Hodge-Tate decomposition of abelian varieties 14 References 18 1. Foreword This survey presents the theory of Hodge-Tate decompositions of etale cohomology groups … cecil brewer stairsNettetthe Hodge-Tate spectral sequence to morphisms. The latter takes place in Faltings topos, but its construction requires the introduction of a relative variant of this topos which is … cecil brewer staircase rNettet19. okt. 2024 · Hodge-Tate spectral sequence [1]. First, we address the connection to Ho dge-Tat e local systems. Second, we establish the functoriality of the p -adic Simpson correspondence by proper direct butterfly\u0027s tongue rated rNettetcalled the Hodge-to-de Rham spectral sequence. In complex geometry, a basic consequence of Hodge theory is that this spectral sequence degenerates at E1 if X admits a Kähler metric. This assumption is not necessary in p -adic geometry: Theorem 2.1 ( [ScholzePAdicHodge, Corollary 1.8], [Bms, Theorem 13.12] ). cecil brown alabamaNettet1. aug. 1999 · The Hodge-Tate spectral sequence for a proper smooth variety over a p-adic field provides a framework for us to revisit Faltings' approach to p-adic Hodge … butterfly\u0027s tongue reviewNettetIt is well known that the p-adic étale cohomology of a smooth and proper variety over a p-adic field admits a Hodge-Tate decomposition and that it is the abutment of a spectral sequence called Hodge-Tate; these two properties are incidentally equivalent. cecil brooks rifle for sale