A compactification of $\mathcal M_3$ via $K3$ surfaces

Details A compactification of $\mathcal M_3$ via $K3$ surfaces A compactification of $\mathcal M_3$ via $K3$ surfaces

2005-11-01

arxiv.org/abs/math/0511031v1

Mathematics

Algebraic Geometry

Scientific paper

S. Kond\=o defined a birational period map from the moduli space of genus
three curves to a moduli space of degree four polarized K3 surfaces. In this
paper we extend the period map to a surjective morphism on a suitable
compactification of $\mathcal M_3$ and describe its geometry.

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