Download E-books Rigid Analytic Geometry and Its Applications (Progress in Mathematics) PDF

By Jean Fresnel

Inflexible (analytic) areas have been invented to explain degenerations, savings, and moduli of algebraic curves and abelian forms. This paintings, a revised and tremendously improved new English version of an previous French textual content through an analogous authors, offers vital new advancements and purposes of the idea of inflexible analytic areas to abelian forms, "points of inflexible spaces," ├ętale cohomology, Drinfeld modular curves, and Monsky-Washnitzer cohomology. The exposition is concise, self-contained, wealthy in examples and routines, and should function a superb graduate-level textual content for the study room or for self-study.

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