Non-archimedean tame topology and stably dominated types / / Ehud Hrushovski, François Loeser |
Autore | Hrushovski Ehud |
Pubbl/distr/stampa | Princeton, New Jersey ; ; Oxford, [England] : , : Princeton University Press, , 2016 |
Descrizione fisica | 1 online resource (227 p.) |
Disciplina | 512.4 |
Collana | Annals of Mathematics Studies |
Soggetto topico | Tame algebras |
Soggetto non controllato |
Abhyankar property
Berkovich space Galois orbit Riemann-Roch Zariski dense open set Zariski open subset Zariski topology algebraic geometry algebraic variety algebraically closed valued field analytic geometry birational invariant canonical extension connectedness continuity criteria continuous definable map continuous map curve fibration definable compactness definable function definable homotopy type definable set definable space definable subset definable topological space definable topology definable type definably compact set deformation retraction finite simplicial complex finite-dimensional vector space forward-branching point fundamental space g-continuity g-continuous g-open set germ good metric homotopy equivalence homotopy imaginary base set ind-definable set ind-definable subset inflation homotopy inflation inverse limit iso-definability iso-definable set iso-definable subset iterated place linear topology main theorem model theory morphism natural functor non-archimedean geometry non-archimedean tame topology o-minimal formulation o-minimality orthogonality path pro-definable bijection pro-definable map pro-definable set pro-definable subset pseudo-Galois covering real numbers relatively compact set residue field extension retraction schematic distance semi-lattice sequence smooth case smoothness stability theory stable completion stable domination stably dominated point stably dominated type stably dominated strong stability substructure topological embedding topological space topological structure topology transcendence degree v-continuity valued field Γ-internal set Γ-internal space Γ-internal subset |
ISBN | 1-4008-8122-6 |
Classificazione | SI 830 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Front matter -- Contents -- 1. Introduction -- 2. Preliminaries -- 3. The space v̂ of stably dominated types -- 4. Definable compactness -- 5. A closer look at the stable completion -- 6. Γ-internal spaces -- 7. Curves -- 8. Strongly stably dominated points -- 9. Specializations and ACV2F -- 10. Continuity of homotopies -- 11. The main theorem -- 12. The smooth case -- 13. An equivalence of categories -- 14. Applications to the topology of Berkovich spaces -- Bibliography -- Index -- List of notations |
Record Nr. | UNINA-9910797708403321 |
Hrushovski Ehud
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Princeton, New Jersey ; ; Oxford, [England] : , : Princeton University Press, , 2016 | ||
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Lo trovi qui: Univ. Federico II | ||
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Non-archimedean tame topology and stably dominated types / / Ehud Hrushovski, François Loeser |
Autore | Hrushovski Ehud |
Pubbl/distr/stampa | Princeton, New Jersey ; ; Oxford, [England] : , : Princeton University Press, , 2016 |
Descrizione fisica | 1 online resource (227 p.) |
Disciplina | 512.4 |
Collana | Annals of Mathematics Studies |
Soggetto topico | Tame algebras |
Soggetto non controllato |
Abhyankar property
Berkovich space Galois orbit Riemann-Roch Zariski dense open set Zariski open subset Zariski topology algebraic geometry algebraic variety algebraically closed valued field analytic geometry birational invariant canonical extension connectedness continuity criteria continuous definable map continuous map curve fibration definable compactness definable function definable homotopy type definable set definable space definable subset definable topological space definable topology definable type definably compact set deformation retraction finite simplicial complex finite-dimensional vector space forward-branching point fundamental space g-continuity g-continuous g-open set germ good metric homotopy equivalence homotopy imaginary base set ind-definable set ind-definable subset inflation homotopy inflation inverse limit iso-definability iso-definable set iso-definable subset iterated place linear topology main theorem model theory morphism natural functor non-archimedean geometry non-archimedean tame topology o-minimal formulation o-minimality orthogonality path pro-definable bijection pro-definable map pro-definable set pro-definable subset pseudo-Galois covering real numbers relatively compact set residue field extension retraction schematic distance semi-lattice sequence smooth case smoothness stability theory stable completion stable domination stably dominated point stably dominated type stably dominated strong stability substructure topological embedding topological space topological structure topology transcendence degree v-continuity valued field Γ-internal set Γ-internal space Γ-internal subset |
ISBN | 1-4008-8122-6 |
Classificazione | SI 830 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Front matter -- Contents -- 1. Introduction -- 2. Preliminaries -- 3. The space v̂ of stably dominated types -- 4. Definable compactness -- 5. A closer look at the stable completion -- 6. Γ-internal spaces -- 7. Curves -- 8. Strongly stably dominated points -- 9. Specializations and ACV2F -- 10. Continuity of homotopies -- 11. The main theorem -- 12. The smooth case -- 13. An equivalence of categories -- 14. Applications to the topology of Berkovich spaces -- Bibliography -- Index -- List of notations |
Record Nr. | UNINA-9910822032303321 |
Hrushovski Ehud
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Princeton, New Jersey ; ; Oxford, [England] : , : Princeton University Press, , 2016 | ||
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Lo trovi qui: Univ. Federico II | ||
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The p-adic Simpson correspondence / / Ahmed Abbes, Michel Gros, Takeshi Tsuji |
Autore | Abbes Ahmed |
Pubbl/distr/stampa | Princeton, New Jersey : , : Princeton University Press, , 2016 |
Descrizione fisica | 1 online resource (618 p.) |
Disciplina | 512/.2 |
Collana | Annals of mathematics studies |
Soggetto topico |
Group theory
p-adic groups Geometry, Algebraic |
Soggetto non controllato |
Dolbeault generalized representation
Dolbeault module Dolbeault representation Faltings cohomology Faltings extension Faltings ringed topos Faltings site Faltings topos Galois cohomology Gerd Faltings Higgs bundle Higgs bundles Higgs crystals Higgs envelopes Higgs isocrystal HiggsДate algebra HodgeДate representation HodgeДate structure HodgeДate theory Hyodo's theory Koszul complex additive categories adic module almost faithfully flat descent almost faithfully flat module almost flat module almost isomorphism almost tale covering almost tale extension cohomology covanishing topos crystalline-type topos deformation discrete AЇ-module finite tale site fundamental group generalized covanishing topos generalized representation inverse limit linear algebra locally irreducible scheme morphism overconvergence p-adic Hodge theory p-adic Simpson correspondence p-adic field period ring ringed covanishing topos ringed total topos small generalized representation small representation solvable Higgs module tale cohomology tale fundamental group torsor |
ISBN | 1-4008-8123-4 |
Classificazione | SI 830 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Front matter -- Contents -- Foreword -- Chapter I. Representations of the fundamental group and the torsor of deformations. An overview / Abbes, Ahmed / Gros, Michel -- Chapter II. Representations of the fundamental group and the torsor of deformations. Local study / Abbes, Ahmed / Gros, Michel -- Chapter III. Representations of the fundamental group and the torsor of deformations. Global aspects / Abbes, Ahmed / Gros, Michel -- Chapter IV. Cohomology of Higgs isocrystals / Tsuji, Takeshi -- Chapter V. Almost étale coverings / Tsuji, Takeshi -- Chapter VI. Covanishing topos and generalizations / Abbes, Ahmed / Gros, Michel -- Facsimile : A p-adic Simpson correspondence / Faltings, Gerd -- Bibliography -- Indexes |
Record Nr. | UNINA-9910797970703321 |
Abbes Ahmed
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Princeton, New Jersey : , : Princeton University Press, , 2016 | ||
![]() | ||
Lo trovi qui: Univ. Federico II | ||
|
The p-adic Simpson correspondence / / Ahmed Abbes, Michel Gros, Takeshi Tsuji |
Autore | Abbes Ahmed |
Pubbl/distr/stampa | Princeton, New Jersey : , : Princeton University Press, , 2016 |
Descrizione fisica | 1 online resource (618 p.) |
Disciplina | 512/.2 |
Collana | Annals of mathematics studies |
Soggetto topico |
Group theory
p-adic groups Geometry, Algebraic |
Soggetto non controllato |
Dolbeault generalized representation
Dolbeault module Dolbeault representation Faltings cohomology Faltings extension Faltings ringed topos Faltings site Faltings topos Galois cohomology Gerd Faltings Higgs bundle Higgs bundles Higgs crystals Higgs envelopes Higgs isocrystal HiggsДate algebra HodgeДate representation HodgeДate structure HodgeДate theory Hyodo's theory Koszul complex additive categories adic module almost faithfully flat descent almost faithfully flat module almost flat module almost isomorphism almost tale covering almost tale extension cohomology covanishing topos crystalline-type topos deformation discrete AЇ-module finite tale site fundamental group generalized covanishing topos generalized representation inverse limit linear algebra locally irreducible scheme morphism overconvergence p-adic Hodge theory p-adic Simpson correspondence p-adic field period ring ringed covanishing topos ringed total topos small generalized representation small representation solvable Higgs module tale cohomology tale fundamental group torsor |
ISBN | 1-4008-8123-4 |
Classificazione | SI 830 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Front matter -- Contents -- Foreword -- Chapter I. Representations of the fundamental group and the torsor of deformations. An overview / Abbes, Ahmed / Gros, Michel -- Chapter II. Representations of the fundamental group and the torsor of deformations. Local study / Abbes, Ahmed / Gros, Michel -- Chapter III. Representations of the fundamental group and the torsor of deformations. Global aspects / Abbes, Ahmed / Gros, Michel -- Chapter IV. Cohomology of Higgs isocrystals / Tsuji, Takeshi -- Chapter V. Almost étale coverings / Tsuji, Takeshi -- Chapter VI. Covanishing topos and generalizations / Abbes, Ahmed / Gros, Michel -- Facsimile : A p-adic Simpson correspondence / Faltings, Gerd -- Bibliography -- Indexes |
Record Nr. | UNINA-9910819658903321 |
Abbes Ahmed
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Princeton, New Jersey : , : Princeton University Press, , 2016 | ||
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Lo trovi qui: Univ. Federico II | ||
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