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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Bibliographic Details
Call Number:Libro Electrónico
Main Author: Moriwaki, Atsushi, 1960- (Author)
Format: Electronic eBook
Language:Inglés
Published: Providence, Rhode Island : American Mathematical Society, 2016.
Series:Memoirs of the American Mathematical Society ; no. 1144.
Subjects:
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
Online Access:Texto completo
Table of Contents:
  • 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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