The moduli of curves of genus 6 and K3 surfaces
classification
🧮 math.AG
keywords
modulicurvesgenusspacesurfacesarithmeticbirationalbounded
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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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