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Non-archimedean tame topology and stably dominated types / / Ehud Hrushovski, François Loeser
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  
Princeton, New Jersey ; ; Oxford, [England] : , : Princeton University Press, , 2016
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Non-archimedean tame topology and stably dominated types / / Ehud Hrushovski, François Loeser
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  
Princeton, New Jersey ; ; Oxford, [England] : , : Princeton University Press, , 2016
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
The p-adic Simpson correspondence / / Ahmed Abbes, Michel Gros, Takeshi Tsuji
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  
Princeton, New Jersey : , : Princeton University Press, , 2016
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
The p-adic Simpson correspondence / / Ahmed Abbes, Michel Gros, Takeshi Tsuji
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  
Princeton, New Jersey : , : Princeton University Press, , 2016
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui