Item type | Current location | Collection | Call number | Copy number | Status | Date due | Barcode |
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E-Books | Biblioteca da FCTUNL | Não Ficção | QA564.SPR FCT 97047 (Browse shelf) | 1 | Available |
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QA564.SPR FCT 96955 Compactifying moduli spaces | QA564.SPR FCT 96987 Optimization of polynomials in non-commuting variables | QA564.SPR FCT 97030 Introduction to the theory of standard monomials | QA564.SPR FCT 97047 Rigid geometry of curves and their jacobians | QA564.SPR FCT 97085 Geometric procedures for civil engineers | QA564.SPR FCT 97148 Rigid cohomology over Laurent series fields | QA564.SPR FCT 97162 Projective geometry |
Colocação: Online
This book presents some of the most important aspects of rigid geometry, namely its applications to the study of smooth algebraic curves, of their Jacobians, and of abelian varieties - all of them defined over a complete non-archimedean valued field. The text starts with a survey of the foundation of rigid geometry, and then focuses on a detailed treatment of the applications. In the case of curves with split rational reduction there is a complete analogue to the fascinating theory of Riemann surfaces. In the case of proper smooth group varieties the uniformization and the construction of abelian varieties are treated in detail. Rigid geometry was established by John Tate and was enriched by a formal algebraic approach launched by Michel Raynaud. It has proved as a means to illustrate the geometric ideas behind the abstract methods of formal algebraic geometry as used by Mumford and Faltings. This book should be of great use to students wishing to enter this field, as well as those already working in it.
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