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[null,"1.","Record Nr.",null,"UNISA996601572803316"]
[null,null,"Autore",null,"Abbes Ahmed"]
[null,null,"Titolo",null,"The P-Adic Simpson Correspondence and Hodge-Tate Local Systems"]
[null,null,"Pubbl/distr/stampa",null,"Cham : , : Springer, , 2024"]
[{"$nulls":4},"©2024"]
[null,null,"ISBN",null,"3-031-55914-2"]
[null,null,"Edizione",null,"[1st ed.]"]
[null,null,"Descrizione fisica",null,"1 online resource (450 pages)"]
[null,null,"Collana",null,"Lecture Notes in Mathematics Series ; ; v.2345"]
[null,null,"Lingua di pubblicazione",null,"Inglese"]
[null,null,"Formato",null,"Materiale a stampa"]
[null,null,null,"Livello bibliografico","Monografia"]
[null,null,"Nota di contenuto",null,"Intro -- Preface -- Contents -- Chapter 1 An Overview -- 1.1 Introduction -- 1.2 Faltings Topos -- 1.3 Local Theory. The Torsor of Deformations -- 1.4 Global Theory. Dolbeault Modules -- 1.5 Functoriality of the p-adic Simpson Correspondence by Proper Direct Image -- 1.6 Relative Faltings Topos -- Chapter 2 Preliminaries -- 2.1 Notation and Conventions -- 2.2 Reminder on a Construction by Fontaine-Grothendieck -- 2.3 Fontaine Universal -- -adic Infinitesimal Thickenings -- 2.4 Logarithmic Infinitesimal Thickenings -- 2.5 Higgs Modules and  -connections -- 2.6 Ind-objects of a Category -- 2.7 Ind-modules -- 2.8 Higgs Ind-modules and  -connections -- 2.9 Modules up to Isogeny -- 2.10 Complement on the Functoriality of Generalized Covanishing Topos -- Chapter 3 The p-adic Simpson Correspondence and Hodge-Tate Modules. Local Study -- 3.1 Assumptions and Notation. -- -adic Infinitesimal Deformations -- 3.2 Torsors and Higgs-Tate Algebras -- 3.3 Dolbeault Representations -- 3.4 Small Higgs Modules -- 3.5 Hodge-Tate Representations -- Chapter 4 The  -adic Simpson Correspondence and Hodge-Tate Modules. Global Study -- 4.1 Assumptions and Notation -- 4.2 Higgs Modules -- 4.3 Faltings Topos -- 4.4 Higgs-Tate Algebras in Faltings Topos -- 4.5 Dolbeault ind-modules -- 4.6 Dolbeault  Q-modules -- 4.7 Cohomology of Dolbeault ind-modules -- 4.8 Dolbeault Modules Over a Small Affine Scheme -- 4.9 Pullback of a Dolbeault ind-module by an Étale Morphism -- 4.10 Stacky Properties of Dolbeault Modules -- 4.11 Hodge-Tate Modules -- 4.12 Dolbeault and Hodge-Tate Local Systems -- Chapter 5 Relative Cohomologies of Higgs-Tate Algebras. Local Study -- 5.1 Assumptions and Notation. Review of Relative Galois "]
[{"$nulls":4},"Cohomology -- 5.2 Relative Galois Cohomologies of Higgs-Tate Algebras -- 5.3 Relative Dolbeault Cohomology of Higgs-Tate Algebras."]
[{"$nulls":4},"Chapter 6 Relative Cohomology of Dolbeault Modules -- 6.1 Assumptions and Notation. Relative Faltings Topos -- 6.2 Base Change -- 6.3 Functoriality of Higgs-Tate algebras in Faltings Topos -- 6.4 Cohomological Computations -- 6.5 Relative Cohomology of Dolbeault ind-modules -- Errata and Addenda to \"The  -adic Simpson Correspondence\" -- A) Misprints -- B) Errata -- References -- Index."]