Rigid analytic geometry and its applications / Jean Fresnel, Marius van der Put
Type de document : Livre numériqueCollection : Progress in mathematics, 218Langue : anglais.Éditeur : Basel : Birkhäuser, cop. 2004ISBN: 9780817642068.ISSN: 0743-1643.Sujet MSC : 14G22, Arithmetic problems in algebraic geometry. Diophantine geometry, Rigid analytic geometry30H05, Functions of a complex variable - Spaces and algebras of analytic functions, Spaces of bounded analytic functions
32P05, Several complex variables and analytic spaces, Non-Archimedean analysis
30G06, Functions of a complex variable - Generalized function theory, Non-Archimedean function theory; nonstandard function theoryEn-ligne : Springerlink | MSN | zbMath
Publisher’s description: The theory of rigid (analytic) spaces, originally invented to describe degenerations, reductions, and moduli of algebraic curves and abelian varieties, has undergone significant growth in the last two decades; today the theory has applications to arithmetic algebraic geometry, number theory, and several complex variables. This new English edition, which was revised and greatly expanded from an earlier French text by the authors, provides a thorough introduction to the basics of the theory of rigid analytic spaces. In addition, the work presents important new results and applications to “points of rigid spaces”, étale topology, Drinfeld modular curves, Shimura varieties, and symmetric spaces. ... (zbMath)
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