The moduli of curves of genus six and K3 surfaces

Artebani, Michela; Kondō, Shigeyuki

doi:10.1090/S0002-9947-2010-05126-8

The moduli of curves of genus six and K3 surfaces
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by Michela Artebani and Shigeyuki Kondō PDF

Trans. Amer. Math. Soc. 363 (2011), 1445-1462 Request permission

Abstract:

We prove that the coarse moduli space of curves of genus six 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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