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- catalog contributor b12810938.
- catalog created "c2003.".
- catalog date "2003".
- catalog date "c2003.".
- catalog dateCopyrighted "c2003.".
- catalog description "Includes bibliographical references (p. 283-289) and index.".
- catalog description "Pt. I. Analytic Theory -- 1. Line Bundles on Complex Tori -- 2. Representations of Heisenberg Groups I -- 3. Theta Functions I -- App. A. Theta Series and Weierstrass Sigma Function -- 4. Representations of Heisenberg Groups II: Intertwining Operators -- App. B. Gauss Sums Associated with Integral Quadratic Forms -- 5. Theta Functions II: Functional Equation -- 6. Mirror Symmetry for Tori -- 7. Cohomology of a Line Bundle on a Complex Torus: Mirror Symmetry Approach -- Pt. II. Algebraic Theory -- 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 -- 13. More on Line Bundles -- 14. Vector Bundles on Elliptic Curves -- 15. Equivalences between Derived Categories of Coherent Sheaves on Abelian Varieties -- Pt. III. Jacobians -- 16. Construction of the Jacobian -- 17. Determinant Bundles and the Principal Polarization of the Jacobian -- 18. Fay's Trisecant Identity -- 19. More on Symmetric Powers of a Curve -- 20. Varieties of Special Divisors -- 21. Torelli Theorem -- 22. Deligne's Symbol, Determinant Bundles, and Strange Duality -- App. C. Some Results from Algebraic Geometry.".
- catalog extent "xvi, 292 p. ;".
- catalog identifier "0521808049".
- catalog identifier "9780511546532 (ebook)".
- catalog isPartOf "Cambridge tracts in mathematics ; 153".
- catalog issued "2003".
- catalog issued "c2003.".
- catalog language "eng".
- catalog publisher "Cambridge, U.K. ; New York : Cambridge University Press,".
- catalog subject "516.3/5 21".
- catalog subject "Abelian varieties.".
- catalog subject "Fourier transformations.".
- catalog subject "QA564 .P64 2003".
- catalog tableOfContents "Pt. I. Analytic Theory -- 1. Line Bundles on Complex Tori -- 2. Representations of Heisenberg Groups I -- 3. Theta Functions I -- App. A. Theta Series and Weierstrass Sigma Function -- 4. Representations of Heisenberg Groups II: Intertwining Operators -- App. B. Gauss Sums Associated with Integral Quadratic Forms -- 5. Theta Functions II: Functional Equation -- 6. Mirror Symmetry for Tori -- 7. Cohomology of a Line Bundle on a Complex Torus: Mirror Symmetry Approach -- Pt. II. Algebraic Theory -- 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 -- 13. More on Line Bundles -- 14. Vector Bundles on Elliptic Curves -- 15. Equivalences between Derived Categories of Coherent Sheaves on Abelian Varieties -- Pt. III. Jacobians -- 16. Construction of the Jacobian -- 17. Determinant Bundles and the Principal Polarization of the Jacobian -- 18. Fay's Trisecant Identity -- 19. More on Symmetric Powers of a Curve -- 20. Varieties of Special Divisors -- 21. Torelli Theorem -- 22. Deligne's Symbol, Determinant Bundles, and Strange Duality -- App. C. Some Results from Algebraic Geometry.".
- catalog title "Abelian varieties, theta functions and the Fourier transform / Alexander Polishchuk.".
- catalog type "text".