Hodge tate spectral
Nettet9. feb. 2016 · Recall that for any smooth proper rigid space X over K , its associated Hodge-Tate spectral sequence degenerates [3, Theorem 13.3], and hence induces a short exact sequence (cf. Sect. ... Nettet1. 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 …
Hodge tate spectral
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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. Nettetsmooth rigid-analytic space Xover C, the Hodge-to-de Rham spectral sequence Eij 1 = H j(X; i X) )H i+j dR (X=C) degenerates at E 1. Moreover, for all i 0, Xi j=0 dim CH i j(X; j …
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. NettetThis symposium was focused on recent developments in p -adic Hodge theory, especially those concerning non-abelian aspects This volume contains both original research …
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 … Nettet5. Hodge-Tate decomposition of abelian varieties 14 References 18 1. Foreword This survey presents the theory of Hodge-Tate decompositions of etale cohomology groups …
Netteton 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.
Nettet19. 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 swedish l35NettetIt 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. swedish lace curtainsNettet11. 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 … swedish k smgNettet8. 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 … swedish labour lawNettetIn 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 skyway animal hospital st peteNettetA 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 ... skyway annexationNettetThe Hodge-Tate spectral sequences play an important role in some of the recent breakthroughs in arithmetic geometry, namely it is used to de ne Hodge-Tate period … swedish lace