Hodge tate spectral
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 …
Hodge tate spectral
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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 … 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 …
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 … 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 · 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 … 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.
NettetThis symposium was focused on recent developments in p -adic Hodge theory, especially those concerning non-abelian aspects This volume contains both original research …
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. locknloadonlineNettetThe 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 … indicates freedom from errorNettet11. 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' … lock n load gun shop floridaNettet20. 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 … indicates engine power outputNettetintroduces a non-trivial di erential in the Hodge-de Rham spectral sequence. In particular, X is non-Kähler. 2 p-adic Hodge Theory 2.1 Hodge-Tate decomposition p-adic Hodge theory is about an analogue of these results for manifolds over p- adic fields (discretely valued, complete non-archimedean extension of Q p with perfect residue field k) indicates fields are mandatoryNettet9. 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. ... locknload platformNettetarchimedean eld C of mixed characteristic p. It is well-known that there is a Hodge-Tate spectral sequence Ep;q 2 = H p(X; q X)( q) =)H p+q et (X;Q p) Qp C from Hodge … lock n load motorcycle