The moduli of curves of genus 6 and K3 surfaces

Details The moduli of curves of genus 6 and K3 surfaces The moduli of curves of genus 6 and K3 surfaces

2008-08-03

arxiv.org/abs/0808.0294v1

Mathematics

Algebraic Geometry

15 pages, 1 figure

Scientific paper

We prove that the coarse moduli space of curves of genus 6 is birational to
an arithmetic quotient of a bounded symmetric domain of type IV by giving a
period map to the moduli space of some lattice-polarized K3 surfaces.

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