English

Oort's conjecture for A_g

Algebraic Geometry 2007-05-23 v2 Differential Geometry

Abstract

We prove the conjecture of Oort that a compact subvariety of the moduli space of principally polarized Abelian varieties of genus g has codimension strictly greater than g, for g > 2, in characteristic zero

Keywords

Cite

@article{arxiv.math/0204229,
  title  = {Oort's conjecture for A_g},
  author = {Sean Keel and Lorenzo Sadun},
  journal= {arXiv preprint arXiv:math/0204229},
  year   = {2007}
}

Comments

17 pages, AmSTeX Final Version, to appear in JAMS