Compactifications defined by arrangements I: the ball quotient case

Details Compactifications defined by arrangements I: the ball quotient case Compactifications defined by arrangements I: the ball quotient case

2001-06-27

arxiv.org/abs/math/0106228v2

Mathematics

Algebraic Geometry

exposition improved, some references added (27 a4 pages)

Scientific paper

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.

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