Integration of One-forms on P-adic Analytic Spaces. (AM-162) /

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Among the many differences between classical and p-adic objects, those related to differential equations occupy a special place. For example, a closed p-adic analytic one-form defined on a simply-connected domain does not necessarily have a primitive in the class of analytic functions. In the early...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Berkovich, Vladimir G. (Autor)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Princeton, NJ : Princeton University Press, [2006]
Edición:Course Book
Colección:Annals of Mathematics Studies ; 162
Temas:
Analyse p-adique.
p-adic analysis.
MATHEMATICS / Geometry / Non-Euclidean.
Abelian category.
Acting in.
Addition.
Aisle.
Algebraic closure.
Algebraic curve.
Algebraic structure.
Algebraic variety.
Allegory (category theory).
Analytic function.
Analytic geometry.
Analytic space.
Archimedean property.
Arithmetic.
Banach algebra.
Bertolt Brecht.
Buttress.
Centrality.
Clerestory.
Commutative diagram.
Commutative property.
Complex analysis.
Contradiction.
Corollary.
Cosmetics.
De Rham cohomology.
Determinant.
Diameter.
Differential form.
Dimension (vector space).
Divisor.
Elaboration.
Embellishment.
Equanimity.
Equivalence class (music).
Existential quantification.
Facet (geometry).
Femininity.
Finite morphism.
Formal scheme.
Fred Astaire.
Functor.
Gavel.
Generic point.
Geometry.
Gothic architecture.
Homomorphism.
Hypothesis.
Imagery.
Injective function.
Irreducible component.
Iterated integral.
Linear combination.
Logarithm.
Marni Nixon.
Masculinity.
Mathematical induction.
Mathematics.
Mestizo.
Metaphor.
Morphism.
Natural number.
Neighbourhood (mathematics).
Neuroticism.
Noetherian.
Notation.
One-form.
Open set.
P-adic Hodge theory.
P-adic number.
Parallel transport.
Patrick Swayze.
Phrenology.
Politics.
Polynomial.
Prediction.
Proportion (architecture).
Pullback.
Purely inseparable extension.
Reims.
Requirement.
Residue field.
Rhomboid.
Roland Barthes.
Satire.
Self-sufficiency.
Separable extension.
Sheaf (mathematics).
Shuffle algebra.
Subgroup.
Suggestion.
Technology.
Tensor product.
Theorem.
Transept.
Triforium.
Tubular neighborhood.
Underpinning.
Writing.
Zariski topology.
Acceso en línea:Texto completo
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Tabla de Contenidos:
  • Frontmatter
  • Contents
  • Introduction
  • 1. Naive Analytic Functions and Formulation of the Main Result
  • 2. Étale Neighborhoods of a Point in a Smooth Analytic Space
  • 3. Properties of Strictly Poly-stable and Marked Formal Schemes
  • 4. Properties of the Sheaves Ω1.dx/dOX
  • 5. Isocrystals
  • 6. F-isocrystals
  • 7. Construction of the Sheaves SλX
  • 8. Properties of the sheaves SλX
  • 9. Integration and Parallel Transport along a Path
  • References
  • Index of Notation
  • Index of Terminology

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