Rigid analytic geometry and its applications / Jean Fresnel, Marius van der Put.

Format:

Book

Author/Creator:

Fresnel, Jean.

Contributor:

Put, Marius van der, 1941-

Series:

Progress in mathematics (Boston, Mass.) ; v. 218.

Progress in mathematics ; v. 218

Language:

English

Subjects (All):

Analytic spaces.

Geometry, Analytic.

Geometry, Algebraic.

Physical Description:

xi, 296 pages : illustrations ; 25 cm.

Place of Publication:

Boston : Birkhäuser, [2004]

Summary:

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," tale 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.

Notes:

Includes bibliographical references (pages [275]-288) and index.

ISBN:

0817642064

3764342064

OCLC:

52216244