Rigid Analytic Geometry and Its Applications - Couverture rigide

Fresnel, Jean; Van Der Put, Marius

 
9780817642068: Rigid Analytic Geometry and Its Applications
Couverture rigide
ISBN 10 : 0817642064 ISBN 13 : 9780817642068
Editeur : Birkhauser Boston Inc, 2003

Synopsis

Rigid (analytic) spaces were invented to describe degenerations, reductions, and moduli of algebraic curves and abelian varieties. This work, a revised and greatly expanded new English edition of an earlier French text by the same authors, presents important new developments and applications of the theory of rigid analytic spaces to abelian varieties, "points of rigid spaces," étale cohomology, Drinfeld modular curves, and Monsky-Washnitzer cohomology. The exposition is concise, self-contained, rich in examples and exercises, and will serve as an excellent graduate-level text for the classroom or for self-study.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Revue de presse

"... beginners will appreciate the numerous exercises and the gentle progression of the first four chapters, from the one-variable calculus on the projective line, through the algebraic study of general affinoid algebras, to the definition of general rigid varieties and their analytic reductions. And each of the last five chapters can be used as the basis for a student workshop at the advanced graduate level." --Mathematical Reviews

"When I was a graduate student, we used the original (French) version of this book in an informal seminar on rigid geometry. It was quite helpful then, and it is much better now. The authors have updated the material, added quite a bit on new applications and new results, and changed languages. Despite the competition it now has, this is still one of the best places in which to start learning this theory." --MAA Reviews

"The book under review gives a very complete and careful introduction into the technical foundations of the theory and also treats in detail the rigid analytic part of some of the important applications which the theory has found in recent years in number theory and geometry.  The exposition is self contained, the authors only assume some familarity with basic algebraic geometry. . . Many of the subjects treated in this book are not easily available from the literature.  The book which contains an extensive bibliography is a very valuable source for everyone wishing to learn about rigid geometry or its applications." --Monatshefte fuer Mathematik

Présentation de l'éditeur

Rigid (analytic) spaces were invented to describe degenerations, reductions, and moduli of algebraic curves and abelian varieties. This work, a revised and greatly expanded new English edition of an earlier French text by the same authors, presents important new developments and applications of the theory of rigid analytic spaces to abelian varieties, "points of rigid spaces," étale cohomology, Drinfeld modular curves, and Monsky-Washnitzer cohomology. The exposition is concise, self-contained, rich in examples and exercises, and will serve as an excellent graduate-level text for the classroom or for self-study.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
Birkhauser Boston Inc
Date d'édition
2003
Langue
anglais
ISBN 10 
0817642064
ISBN 13 
9780817642068
Reliure
Relié
Nombre de pages
310
Coordonnées du fabricant
ProductSafety@springernature.com
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Poststr. 9
Darmstadt
64293
Allemagne

Autres éditions populaires du même titre

9781461265856: Rigid Analytic Geometry and Its Applications

Edition présentée

ISBN 10 :  1461265851 ISBN 13 :  9781461265856
Editeur : Birkhäuser, 2012
Couverture souple