By Jean Fresnel

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

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