Book contents
- Frontmatter
- Contents
- Preface
- Part I Analytic Theory
- Part 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
- Part III Jacobians
- Bibliographical Notes and Further Reading
- References
- Index
12 - Mumford Group and Riemann's Quartic Theta Relation
from Part II - Algebraic Theory
Published online by Cambridge University Press: 18 August 2009
- Frontmatter
- Contents
- Preface
- Part I Analytic Theory
- Part 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
- Part III Jacobians
- Bibliographical Notes and Further Reading
- References
- Index
Summary
- Type
- Chapter
- Information
- Abelian Varieties, Theta Functions and the Fourier Transform , pp. 150 - 165Publisher: Cambridge University PressPrint publication year: 2003