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Hodge tate spectral

Nettet8. mar. 2024 · The relative Hodge-Tate spectral sequence -- an overview A. Abbes, Michel Gros Published 8 March 2024 Mathematics arXiv: Algebraic Geometry We give in this note an overview of a recent work leading to a generalization of the Hodge-Tate spectral sequence to morphisms. Nettetcalled 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] ).

INTEGRAL p-ADIC HODGE FILTRATIONS IN LOW DIMENSION …

NettetInspired by Deligne's approach to classical Hodge theory for singular varieties, we establish a cohomological descent result for the structural sheaf of Faltings topos, which makes it possible to... Nettet3. p-adic Hodge theory 13 3.1. Introduction 13 3.2. A comparison result for constructible coe cients 17 3.3. The Hodge-Tate spectral sequence 20 4. A p-adic analogue of … chicken meatloaf muffins https://bulkfoodinvesting.com

Derivatives of Frobenius and Derivatives of Hodge—Tate Weights …

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 … Nettet11. sep. 2015 · Abstract 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 … Nettetthe 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 … google vmware windows xp 64

-adic Hodge theory - University of Chicago

Category:arXiv:1612.03367v5 [math.NT] 28 Jul 2024

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Hodge tate spectral

p-adic Hodge Theory, Singular Varieties, and Non-Abelian Aspects …

NettetIt 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. 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 …

Hodge tate spectral

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Nettet11. jun. 2024 · On the other side, we consider the "Hodge-Tate cohomology" of X. This is: HkHT(X / K) = ⨁ i + j = kHi(X, ΩjX / K) It is a graded K -vector space with grj HkHT(X / … Nettet8. mar. 2024 · Les suites spectrales de Hodge-Tate. Ahmed Abbes, Michel Gros. This book presents two important results in p-adic Hodge theory following the approach …

NettetThe following statement, called the Hodge–Tate decomposition, was conjectured by Tate ([16] Remark page 180) and proved independently by Faltings [8, 9] and Tsuji [17, 18]. … Nettet20. jun. 2024 · PDF We prove that the Hodge-Tate spectral sequence of a proper smooth rigid analytic variety can be reconstructed from its infinitesimal... Find, read …

Nettetp, such that both of its Hodge– de Rham and Hodge–Tate spectral sequences are non-degenerate. Moreover the Hodge/conjugatefiltrationsarenon-splitasO K-modules. Theideaofconstruction,whichmaybetracedbacktoW.Lang’swork[Lan95] andRaynaud’s[Ray79],isasfollows. Theexoticgroupscheme padmitsliftings … Nettet8. mar. 2024 · This is canonical after choices of an exponential on K and of a splitting of the Hodge–Tate sequence of A.. Here pro-finite-étale Higgs bundles are defined as Higgs bundles such that the underlying vector bundle becomes trivial on a pro-finite-étale covering of A.. To motivate the theorem, we recall that the complex Corlette–Simpson …

Nettet8. mar. 2024 · Along the way, we establish various foundational results on the geometry of the Hodge-Tate period map. In particular, we compare the fibres of the Hodge-Tate …

NettetTHE WORK OF PETER SCHOLZE M. RAPOPORT arXiv:1909.07222v1 [math.NT] 13 Sep 2024 Abstract. He has developed powerful methods in algebraic geometry over p-adic fields, and has proved striking theorems in this area. My purpose here is to convey some idea of the accomplishments of Peter Scholze for which he was awarded the Fields medal. chicken meatloaf recipe easyNetteton the geometry of the Hodge-Tate period map. In particular, we compare the bres of the Hodge-Tate period map with Igusa varieties. Contents 1. Introduction 2 2. Re ning the Hodge-Tate period map 10 2.1. Recollections on the Hodge-Tate period map 10 2.2. The p-adic-de Rham comparison isomorphism 13 2.3. Hodge cycles and torsors 16 3. google vision ingredients recognitionNettet14. 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 … chicken meatloaf recipe instapotNettet11. 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... chicken meatloaf recipe no cheesegoogle voice account customer serviceNettet12. apr. 2024 · More recently, Ahmed Abbes has established with Michel Gros the existence of a relative Hodge-Tate spectral sequence generalizing the Hodge-Tate decomposition of the p-adic étale cohomology of a smooth and proper variety over a p-adic field to a relative situation. Personal web page CNRS Bronze Medal (2005) google voice account freehttp://shizhang.li/papers/integral%20Hodge%20filtration.pdf google voice account for sale