The nef cone of toroidal compactifications of ${\cal A}_4$
Algebraic Geometry
2007-05-23 v1
Abstract
We determine the cone of nef divisors on the Igusa and Voronoi compactifications of the moduli space of principally polarised abelian 4-folds. We also show that the canonical bundle on the Igusa compactification of A_4(n) is ample for n at least 3. Analogous results for A_2 and A_3 were earlier obtained by the first author but the case of A_4 is far less simple.
Keywords
Cite
@article{arxiv.math/0203238,
title = {The nef cone of toroidal compactifications of ${\cal A}_4$},
author = {K. Hulek and G. K. Sankaran},
journal= {arXiv preprint arXiv:math/0203238},
year = {2007}
}
Comments
54 pages, 4 figures