Open AccessZariski Decompositions on Arithmetic Surfaces
Author(s) -
Atsushi Moriwaki
Publication year - 2012
Publication title -
publications of the research institute for mathematical sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.786
H-Index - 39
eISSN - 1663-4926
pISSN - 0034-5318
DOI - 10.2977/prims/89
Subject(s) - mathematics , arithmetic , algebra over a field , pure mathematics
In this paper, we establish the Zariski decompositions of arithmetic R-Cartier divisors of continuous type on arithmetic surfaces and investigate their properties. We also develop a general theory of arithmetic R-Cartier divisors on arithmetic varieties
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