LIBERO WebOPAC Catalogue Display (W561)

Catalogue Information
Field name	Details
Dewey Class	510
Title	Rigid Geometry of Curves and Their Jacobians ([EBook]) / by Werner Lütkebohmert.
Author	Lütkebohmert, Werner
Other name(s)	SpringerLink (Online service)
Edition statement	1st ed. 2016.
Publication	Cham : : Springer International Publishing : : Imprint: Springer, , 2016.
Physical Details	XVIII, 386 p. 1 illus. in color. : online resource.
Series	Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics 0071-1136 ; ; 61
ISBN	9783319273716
Summary Note	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.:
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site	http://dx.doi.org/10.1007/978-3-319-27371-6
Links to Related Works	Subject References: Mathematics . Mathematics, general . Authors: Lütkebohmert, Werner . Corporate Authors: SpringerLink (Online service) . Series: Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics . Classification: 510 .

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Rigid Geometry of Curves and Their Jacobians

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