Moduli Spaces of Abelian Surfaces

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Introduction
Compactified moduli spaces	p. 1
Moduli spaces	p. 3
Torus embeddings and applications	p. 14
Toroidal compactification of A(1,p)	p. 45
The boundary of A[superscript *](1,p)	p. 125
Humbert surfaces and scaffoldings	p. 155
The Satake compactification	p. 184
Degenerations of abelian surfaces	p. 191
Mumford's construction	p. 195
The basic construction for surfaces	p. 204
Degenerate abelian surfaces (the principally polarized case)	p. 215
Degenerate abelian surfaces (the case of (1,p)-polarization)	p. 235
Polarizations on degenerate abelian surfaces	p. 245
The Horrocks-Mumford map	p. 271
The Horrocks-Mumford bundle	p. 274
Construction of the Horrocks-Mumford map	p. 281
Extension of the Horrocks-Mumford map to A(1,5)	p. 298
Extension of the Horrocks-Mumford map to A[superscript *](1,5)	p. 305
Bibliography	p. 333
Glossary of Notations	p. 337
Index	p. 343
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