English

An exceptional locus in the perfect compactification of $A_g$

Algebraic Geometry 2019-09-10 v2

Abstract

The line bundle 12MD12M-D on the perfect compactification AgPA_g^P is nef; we show here that in positive characteristic it is semi-ample and that in all characteristics its exceptional locus is the closure of the locus of abelian varieties with an elliptic factor.

Keywords

Cite

@article{arxiv.1604.05954,
  title  = {An exceptional locus in the perfect compactification of $A_g$},
  author = {N. Shepherd-Barron},
  journal= {arXiv preprint arXiv:1604.05954},
  year   = {2019}
}

Comments

Unnecessary remarks about stack-theoretic Satake compactifications have been removed