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Rigid Analytic Geometry and Its Applications

Paperback Engels 2012 2004e druk 9781461265856
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Samenvatting

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.

Specificaties

ISBN13:9781461265856
Taal:Engels
Bindwijze:paperback
Aantal pagina's:299
Druk:2004

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Inhoudsopgave

Preface * Valued fields and normed spaces * The projective line * Affinoid algebras * Rigid spaces * Curves and their reductions * Abelian varieties * Points of rigid spaces, rigid cohomology * Etale cohomology of rigid spaces * Covers of algebraic curves * References * List of Notation * Index

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          Rigid Analytic Geometry and Its Applications