Abelian varieties, theta functions, and the Fourier transform

• 作者: Polishchuk, Alexander,
• 出版: Cambridge, UK ;New York : Cambridge University Press 2003.
• 稽核項: 1 online resource (xvi, 292 pages) :illustrations.
• 叢書名: Cambridge tracts in mathematics ;153
• 標題: Fourier transformations. , Variétés abéliennes. , Transformations de Fourier. , Fourier-Transformation , Abelian varieties. , Thetafunktion , GeometryAlgebraic. , Electronic books. , MATHEMATICS Geometry -- Algebraic. , MATHEMATICS , Abelsche Mannigfaltigkeit
• ISBN: 0521808049 , 9780521808040
• ISBN: 0521808049 , 9780511057588 , 905105758X
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• 附註: Includes bibliographical references (pages 283-289) and index. Cover; Half-title; Title; Copyright; Contents; Preface; Acknowledgments; References; 1 Line Bundles on Complex Tori; 2 Representations of Heisenberg Groups I; 3 Theta Functions I; 4 Representations of Heisenberg Groups II: Intertwining Operators; 5 Theta Functions II: Functional Equation; 6 Mirror Symmetry for Tori; 7 Cohomology of a Line Bundle on a Complex Torus: Mirror Symmetry Approach; 8 Abelian Varieties and Theorem of the Cube; 9 Dual Abelian Variety; 10 Extensions, Biextensions, and Duality; 11 Fourier-Mukai Transform; 12 Mumford Group and Riemann's Quartic Theta Relation.
• 摘要: The aim of this book is to present a modern treatment of the theory of theta functions in the context of algebraic geometry. The novelty of its approach lies in the systematic use of the Fourier-Mukai transform.
• 電子資源: https://dbs.tnua.edu.tw/login?url=https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=120692
• 系統號: 005312766
• 資料類型: 電子書
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• 引用網址: 複製連結
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