Compactifications defined by arrangements I: the ball quotient case
代数几何
2007-05-23 v2
摘要
We define a natural compactification of an arrangement complement in a ball quotient. We show that when this complement has a moduli space interpretation, then this compactification is often one that appears naturally by means of geometric invariant theory. We illustrate this with the moduli spaces of smooth quartic curves and rational elliptic surfaces.
引用
@article{arxiv.math/0106228,
title = {Compactifications defined by arrangements I: the ball quotient case},
author = {Eduard Looijenga},
journal= {arXiv preprint arXiv:math/0106228},
year = {2007}
}
备注
exposition improved, some references added (27 a4 pages)