Complex abelian varieties 2nd Edition by Christina Birkenhake, Herbert Lange ISBN 3540204881‎ 978-3540204886 by Birkenhake C., Lange H. 9783540204886, 3540204881 instant download after payment.

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Product details:

ISBN 10: 3540204881

ISBN 13:‎ 978-3540204886 

Author: Christina Birkenhake, Herbert Lange 

This book explores the theory of abelian varieties over the field of complex numbers, explaining both classic and recent results in modern language. The second edition adds five chapters on recent results including automorphisms and vector bundles on abelian varieties, algebraic cycles and the Hodge conjecture. ". . . far more readable than most . . . it is also much more complete." Olivier Debarre in Mathematical Reviews, 1994.

Table of contents:

1. Front Matter

2. Introduction

3. Notation

4. Complex Tori

5. Line Bundles on Complex Tori

6. Cohomology of Line Bundles

7. Abelian Varieties

8. Endomorphisms of Abelian Varieties

9. Theta and Heisenberg Groups

10. Equations for Abelian Varieties

11. Moduli

12. Moduli Spaces of Abelian Varieties with Endomorphism Structure

13. Abelian Surfaces

14. Jacobian Varieties

15. Prym Varieties

16. Automorphisms

17. Vector Bundles on Abelian Varieties

18. Further Results on Line Bundles and the Theta Divisor

19. Cycles on Abelian Varieties

20. The Hodge Conjecture for General Abelian and Jacobian Varieties

21. Back Matter

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Tags: Christina Birkenhake, Herbert Lange, Complex, Abelian, Varieties