Adelic Divisors on Arithmetic Varieties

Atsushi Moriwaki, Kyoto University, Japan.

• IntroductionPreliminariesAdelic $\mathbb{R}$-CartierDivisors over a Discrete Valuation FieldLocal and Global DensityTheoremsAdelic Arithmetic $\mathbb{R}$-CartierDivisors Continuity of the Volume Function}Zariski Decompositions of Adelic ArithmeticDivisors on Arithmetic SurfacesCharacterization of Nef Adelic Arithmetic Divisors on Arithmetic SurfacesDirichlet's unitTheorem for Adelic Arithmetic DivisorsAppendix A. Characterization of Relatively Nef Cartier DivisorsBibliographySubject IndexSymbol Index