Geometry of A_g and Its Compactifications

zbMath1171.14026arXiv0711.0094MaRDI QIDQ3622191

Samuel Grushevsky

Publication date: 28 April 2009

Full work available at URL: https://arxiv.org/abs/0711.0094

zbMATH Keywords

abelian varietiesmodular formsdivisorsalgebraic geometryChow ringssurvey articlemoduli spaces of abelian varieties

Mathematics Subject Classification ID

Algebraic moduli problems, moduli of vector bundles (14D20) Siegel modular groups; Siegel and Hilbert-Siegel modular and automorphic forms (11F46) Complex multiplication and moduli of abelian varieties (11G15) Algebraic moduli of abelian varieties, classification (14K10) (Equivariant) Chow groups and rings; motives (14C15) Rationality questions in algebraic geometry (14E08)

Related Items (12)

Stable cohomology of the perfect cone toroidal compactification of \(\mathcal{A}_g\) ⋮ Covers of the projective line and the moduli space of quadratic differentials ⋮ Subvarieties of quotients of bounded symmetric domains ⋮ Affine stratification of $\mathcal {A}_4$ ⋮ Determinantal characterization of canonical curves and combinatorial theta identities ⋮ The locus of plane quartics with a hyperflex ⋮ The vanishing of two-point functions for three-loop superstring scattering amplitudes ⋮ Square-tiled surfaces and rigid curves on moduli spaces ⋮ On the cone of effective surfaces on $\overline{\mathcal A}_3$ ⋮ Siegel Modular Forms and Their Applications ⋮ A finiteness theorem for Lagrangian fibrations ⋮ Unnamed Item

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