The moduli of curves of genus 6 and K3 surfaces

2008/08/03 by Artebani, Michela, Kondo, Shigeyuki
#14H10 #14J28 #Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.0808.0294

Abstract

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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