2 Torus embeddings and applications

Chapters in this book

1. Frontmatter I
2. I Compactified moduli spaces
3. 1 Moduli spaces 3
4. 2 Torus embeddings and applications 14
5. 3 Toroidal compactification of A(1, p) 45
6. 4 The boundary of A*(1, p) 125
7. 5 Humbert surfaces and scaffoldings 155
8. 6 The Satake compactification 184
9. II Degenerations of abelian surfaces
10. 1 Mumford’s construction 193
11. 2 The basic construction for surfaces 204
12. 3 Degenerate abelian surfaces (the principally polarized case) 215
13. 4 Degenerate abelian surfaces (the case of (1,p)-polarization) 235
14. 5 Polarizations on degenerate abelian surfaces 245
15. III The Horrocks-Mumford map
16. 1 The Horrocks-Mumford bundle 273
17. 2 Construction of the Horrocks-Mumford map 281
18. 3 Extension of the Horrocks-Mumford map to A(1, 5) 298
19. 4 Extension of the Horrocks-Mumford map to A* (1, 5) 305
20. Bibliography 333
21. Glossary of Notations 337
22. Index 343