Geometry of A_g and Its Compactifications
arXiv:0711.0094
Abstract
In this survey we give a brief introduction to, and review the progress made in the last decade in understanding the geometry of the moduli spaces A_g of principally polarized abelian varieties and its compactifications. Topics surveyed include: compactifications; birational geometry: nef and effective cones, canonical models; homology, Chow rings and intersection theory; and subvarieties of moduli spaces. We also discuss some open problems and possible further directions. This is an expanded and updated version of the talk given at the 2005 Summer Institute for Algebraic Geometry
v2: TeXnical correction. v4: final published version
References in corpus (4)
- Integrable discrete Schrodinger equations and a characterization of Prym varieties by a pair of quadrisecants
- Some intersections in the Poincare bundle, and the universal theta divisor on the moduli space of (semi)abelian varieties
- Some intersection numbers of divisors on toroidal compactifications of A_g
- Effective divisors on \bar{M}_g, curves on K3 surfaces and the Slope Conjecture