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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:
Acceso en línea:Texto completo

MARC

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100 1 |a Moriwaki, Atsushi,  |d 1960-  |e author.  |1 https://id.oclc.org/worldcat/entity/E39PCjxRvW3QBgbkYYyhqPfP43 
245 1 0 |a Adelic divisors on arithmetic varieties /  |c Atsushi Moriwaki. 
264 1 |a Providence, Rhode Island :  |b American Mathematical Society,  |c 2016. 
264 4 |c ©2016 
300 |a 1 online resource (v, 122 pages) :  |b illustrations 
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337 |a computer  |b c  |2 rdamedia 
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490 1 |a Memoirs of the American Mathematical Society,  |x 0065-9266 ;  |v volume 242, number 1144 
588 0 |a Online resource; title from PDF title page (viewed April 27, 2016). 
500 |a "Volume 242, number 1144 (first of 4 numbers), July 2016." 
504 |a Includes bibliographical references (pages 117-118) and index. 
520 |a 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 and a special case of Dirichlet's unit theorem on arithmetic varieties, to the case of the adelic arithmetic divisors. 
505 0 0 |t Introduction --  |t Preliminaries --  |t Adelic R-Cartier Divisors over a Discrete Valuation Field --  |t Local and Global Density Theorems --  |t Adelic Arithmetic R-Cartier Divisors --  |t Continuity of the Volume Function --  |t Zariski Decompositions of Adelic Arithmetic Divisors on Arithmetic Surfaces --  |t Characterization of Nef Adelic Arithmetic Divisors on Arithmetic Surfaces --  |t Dirichlet's unit Theorem for Adelic Arithmetic Divisors --  |g Appendix A.  |t Characterization of Relatively Nef Cartier Divisors. 
590 |a ProQuest Ebook Central  |b Ebook Central Academic Complete 
650 0 |a Divisor theory. 
650 0 |a Topological groups. 
650 0 |a Algebraic varieties. 
650 0 |a Approximation theory. 
650 6 |a Théorie des diviseurs. 
650 6 |a Groupes topologiques. 
650 6 |a Variétés algébriques. 
650 6 |a Théorie de l'approximation. 
650 7 |a Algebraic varieties  |2 fast 
650 7 |a Approximation theory  |2 fast 
650 7 |a Divisor theory  |2 fast 
650 7 |a Topological groups  |2 fast 
710 2 |a American Mathematical Society,  |e publisher. 
776 0 8 |i Print version:  |a Moriwaki, Atsushi, 1960-  |t Adelic divisors on arithmetic varieties.  |d Providence, Rhode Island : American Mathematical Society, [2016]  |z 9781470419264  |w (DLC) 2016011014  |w (OCoLC)944394316 
830 0 |a Memoirs of the American Mathematical Society ;  |v no. 1144. 
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