Abelian varieties theta functions and the fourier transform pdf

Here the Fourier transform techniques play a central role, appearing in several different contexts. In transcendental theory, the usual Fourier trans-form plays a major role in the representation theory of the Heisenberg group, the main building block for the theory of theta functions.

Also, the Fourier transform appears in the discussion of mirror symmetry for complex and symplectic tori, which are used to compute cohomology of holomorphic line bundles on complex tori. Problem URL. Describe the connection issue. Toggle navigation Back to results. Abelian varieties, theta functions, and the Fourier transform [electronic resource]. Responsibility Alexander Polishchuk. Physical description xvi, p.

Series Cambridge tracts in mathematics Online Available online. Ebook Central Full view. Report a connection problem. More options. Find it at other libraries via WorldCat Limited preview.

Bibliography Includes bibliographical references p. Contents Part I. Analytic Theory: 1. A general investigation of derived equivalences. Endomorphism algebras of abelian varieties are well understood, and they have been completely classified for this and other basic results on abelian varieties, see the classical book by. Cohen , H. Shiga, and J. This book includes expositions of analytic methods applicable over the ground field of complex numbers, as well as of scheme-theoretic methods used to deal with inseparable isogenies when the ground field has positive characteristic.

Shimura is a founding master, and is a fundamental reference for any researcher or student of the antimetric theory of abelian varieties and modular functions, and in. David Mumford, Abelian Varieties. This book is a beautiful classic. Mumford treats abelian varieties first from a complex analytic point of view, before moving onto an old-style variety-theoretic manner, before finally dealing with the modern scheme-theoretic language. Christina Birkenhake and Herbert Lange, Complex abelian varieties.

If there. In mathematics, particularly in algebraic geometry, complex analysis and number theory, an abelian variety is a projective algebraic variety that is also an algebraic group, i. This is a continuation of the previous paper and book, applying that theory in particular to moduli of abelian varieties. Hirzebruch's Proportionality Theorem in the non-compact case, Invent. Scanned reprint and DASH reprint. Browse other questions tagged aic-geometry reference-request abelian-varieties or ask your own question.

Edixhoven and J. Evertse Edited by B. New York: Springer-Verlag, Paperback. Last edited by Brabei. Abelian varieties Mumford. Written in English Subjects: Abelian varieties. M84 The Physical Object Pagination vii, p. Share this book. Huntington sexual behavior scale. The Christian babysitters handbook. Your name.

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Name of resource. Problem URL. Describe the connection issue. Toggle navigation Back to results. Abelian varieties, theta functions, and the Fourier transform. Responsibility Alexander Polishchuk. Physical description 1 online resource xvi, pages : illustrations Series Cambridge tracts in mathematics Online Available online.