English

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

Algebraic Geometry 2007-05-23 v1

Abstract

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 M3\mathcal M_3 and describe its geometry.

Keywords

Cite

@article{arxiv.math/0511031,
  title  = {A compactification of $\mathcal M_3$ via $K3$ surfaces},
  author = {Michela Artebani},
  journal= {arXiv preprint arXiv:math/0511031},
  year   = {2007}
}
R2 v1 2026-07-22T17:26:47.193Z