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＜電子ブック＞
Rigid Geometry of Curves and Their Jacobians / by Werner Lütkebohmert
(Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics. ISSN:21975655 ; 61)

版	1st ed. 2016.
出版者	(Cham : Springer International Publishing : Imprint: Springer)
出版年	2016
大きさ	XVIII, 386 p. 1 illus : online resource
著者標目	*Lütkebohmert, Werner author SpringerLink (Online service)
件　名	LCSH:Algebraic geometry LCSH:Functions of complex variables FREE:Algebraic Geometry FREE:Several Complex Variables and Analytic Spaces
一般注記	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 HTTP:URL=https://doi.org/10.1007/978-3-319-27371-6

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