Adelic divisors on arithmetic varieties /

In this article, we generalize several fundamental results for arithmetic divisors, such as the continuity of the volume function, the generalized Hodge index theorem, Fujita's approximation theorem for arithmetic divisors, Zariski decompositions for arithmetic divisors on arithmetic surfaces a...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Moriwaki, Atsushi, 1960- (Autor)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Providence, Rhode Island : American Mathematical Society, 2016.
Colección:Memoirs of the American Mathematical Society ; no. 1144.
Temas:
Divisor theory.
Topological groups.
Algebraic varieties.
Approximation theory.
Théorie des diviseurs.
Groupes topologiques.
Variétés algébriques.
Théorie de l'approximation.
Algebraic varieties
Approximation theory
Divisor theory
Topological groups
Acceso en línea:Texto completo
Tabla de Contenidos:
  • Introduction
  • Preliminaries
  • Adelic R-Cartier Divisors over a Discrete Valuation Field
  • Local and Global Density Theorems
  • Adelic Arithmetic R-Cartier Divisors
  • Continuity of the Volume Function
  • Zariski Decompositions of Adelic Arithmetic Divisors on Arithmetic Surfaces
  • Characterization of Nef Adelic Arithmetic Divisors on Arithmetic Surfaces
  • Dirichlet's unit Theorem for Adelic Arithmetic Divisors
  • Appendix A. Characterization of Relatively Nef Cartier Divisors.

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