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Ergebnisse der Mathematik und Ihrer Grenzgebiete. 3. Folge / a Series of Modern Surveys in Mathematics Ser.: Rigid Geometry of Curves and Their Jacobians by Werner Lütkebohmert (2016, Hardcover)
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About this product
Product Identifiers
PublisherSpringer International Publishing A&G
ISBN-103319273698
ISBN-139783319273693
eBay Product ID (ePID)219217554
Product Key Features
Number of PagesXviii, 386 Pages
LanguageEnglish
Publication NameRigid Geometry of Curves and Their Jacobians
Publication Year2016
SubjectGeometry / General, Geometry / Algebraic, Mathematical Analysis
TypeTextbook
Subject AreaMathematics
AuthorWerner Lütkebohmert
SeriesErgebnisse der Mathematik und Ihrer Grenzgebiete. 3. Folge / a Series of Modern Surveys in Mathematics Ser.
FormatHardcover
Dimensions
Item Weight256.5 Oz
Item Length9.3 in
Item Width6.1 in
Additional Product Features
Intended AudienceScholarly & Professional
Reviews"Werner Ltkebohmert presents in his book the rigid analytic analog of classical topics in complex analysis, namely the theory of compact Riemann surfaces and their Jacobian varieties. ... It is a comprehensive exposition of this brilliant theory in a single volume and a must-have for everybody learning or knowing rigid analytic geometry." (Urs Hartl, Jahresbericht der Deutschen Mathematiker-Vereinigung, Vol. 119, 2017), "Werner Lütkebohmert presents in his book the rigid analytic analog of classical topics in complex analysis, namely the theory of compact Riemann surfaces and their Jacobian varieties. ... It is a comprehensive exposition of this brilliant theory in a single volume and a must-have for everybody learning or knowing rigid analytic geometry." (Urs Hartl, Jahresbericht der Deutschen Mathematiker-Vereinigung, Vol. 119, 2017)
Dewey Edition23
Series Volume Number61
Number of Volumes1 vol.
IllustratedYes
Dewey Decimal516.352
SynopsisThis 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.
LC Classification NumberQA564-609
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