New relations between the Fourier coefficients of modular forms of Nebentypus with applications to quaternary quadratic forms

Chapters in this book

1. I-IV I
2. Preface V
3. Table of contents VII
4. Quadratic equations for level-3 abelian surfaces 1
5. Abelian threefolds in (P2)3 19
6. Branch points in moduli spaces of certain abelian surfaces 25
7. Compact complex manifolds bimeromorphic to tori 55
8. Irrationality of the moduli spaces of polarized abelian surfaces 63
9. Appendix to the paper "Irrationality of the moduli spaces of polarized abelian surfaces" 83
10. Tau-functions and modules over the Virasoro algebra 85
11. Some modular varieties related to P4 105
12. New relations between the Fourier coefficients of modular forms of Nebentypus with applications to quaternary quadratic forms 131
13. The fundamental group of some Siegel modular threefolds 141
14. Spectral curves and Prym—Tjurin varieties I 151
15. On a generalization of the Néron—Tate height on abelian varieties 199
16. Refinements of the Tate conjecture for abelian varieties 211
17. Complete subvarieties of moduli spaces 225
18. Abel—Jacobi invariant and curves on generic abelian varieties 237
19. The Schottky ideal 251
20. Rational points on certain intersections of two quadrics 273
21. On the Kodaira dimension of moduli spaces of abelian varieties with non-principal polarizations 293
22. Abelian surfaces with a polarization of type (1,4) 303
23. Symmetries of a moduli space of abelian surfaces 323
24. List of Contributors 343