Rigid Analytic Geometry and Its Applications
Jean Fresnel ¡ Marius van der Put
āĻĄāĻŋāĻā§ ā§¨ā§Ļā§§ā§¨ ¡ Progress in Mathematics āĻāĻŋāĻ¤āĻžāĻĒ 218 ¡ Springer Science & Business Media
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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," Êtale 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.
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