Hodge tate spectral
NettetThe relative Hodge-Tate spectral sequence (ENGLISH) [ Abstract ] It 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. Nettet11. apr. 2024 · We establish a connection between continuous K-theory and integral cohomology of rigid spaces. Given a rigid analytic space over a complete discretely valued field, its continuous K-groups vanish in degrees below the negative of the dimension. Likewise, the cohomology groups vanish in degrees above the dimension. The main …
Hodge tate spectral
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NettetIn mathematics, a Hodge–Tate module is an analogue of a Hodge structure over p-adic fields. Serre introduced and named Hodge–Tate structures using the results of Tate on … NettetDeligne's Hodge Theory I-III. Deligne. 数学爱好者. 22 人 赞同了该文章. The purpose of these notes is to introduce Deligne's theory of mixed Hodge structures ( [Hodge I], [Hodge II], [Hodge III]). In this work, Deligne extends classical Hodge theory first to open, smooth, varieties [Hodge II], then to complete, singular varieties ...
NettetA 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 ... 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 …
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 · Ahmed Abbes, Michel Gros. The Hodge-Tate spectral sequence for a proper smooth variety over a p-adic field provides a framework for us to revisit Faltings' …
NettetIn p-adic Hodge theory, the analogous concept to complex Hodge decomposition (HS) is the p-adic Hodge-Tate (HT) decomposition. An HT structure also represents the absolute Galois group of the ground p-adic field. Besides, both decompositions above can be equally described through the convergence of the Hodge to de Rham spectral sequence.
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]. … bom bass strait weatherNettet29. mar. 2024 · The spectral sequence is called the relative Hodge–Tate spectral sequence. We can easily prove that it is G K -equivariant for the natural G K … bombas student discountNettetIn particular, the di erentials in the Hodge-Tate spectral sequence Hs(X i; r X i=W(k)) )Hs+r(X i=W(k)[[u]]) vanish modulo torsion. But, as we established above, the Hodge cohomology of X i has no torsion, so the Hodge-Tate spectral sequence degenerates at the second page. Therefore the conjugate spectral sequence for X gmf-surveysNettetcalled 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] ). gmfs verification of mortgagebom bass strait forecastNettet19. 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 bombass ucrainaNettet6. 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. bombas striped socks