Moduli of Abelian VarietiesAbelian varieties and their moduli are a central topic of increasing importance in today`s mathematics. Applications range from algebraic geometry and number theory to mathematical physics. |
Contents
IV | 1 |
V | 11 |
IX | 127 |
X | 133 |
XI | 157 |
XII | 185 |
XV | 203 |
XVI | 217 |
XVIII | 255 |
XX | 299 |
XXI | 325 |
XXII | 345 |
XXIII | 417 |
XXIV | 441 |
XXV | 473 |
XXVI | 491 |
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Common terms and phrases
abelian scheme abelian surface action algebraically closed field associated assume base change bijection canonical filtration Cartier divisor closed subscheme commutative compactification consider construction Corollary corresponding decomposition defined definition deformation denote diagram Dieudonné module dimension dual element elliptic curve endomorphism equivalent exact sequence exists fiber follows formal functor Galois given Gm,s graph group scheme H₁ H¹(A Hence homomorphism induced integer inverse invertible sheaf involution isogeny isomorphism K3 surfaces lattice Lemma line bundle linear M₁ Math maximal moduli space morphism Newton polygon nilpotent notation obtain Oort open subscheme p-divisible group pairing polarized abelian varieties principally polarized Proof Proposition prove quotient resp ring Shimura varieties smooth locus strata structure subgroup subset supersingular Suppose surjective symmetric symplectic Theorem torus unique vector write zero