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arXiv · 1705.05290

Geometry of the moduli space of $n$-pointed K3 surfaces of genus 11

Ignacio Barros
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Abstract

We prove that the moduli space of polarized $K3$ surfaces of genus eleven with $n$ marked points is unirational when $n\leq 6$ and uniruled when $n\leq7$. As a consequence, we settle a long standing but not proved assertion about the unirationality of $\cal{M}_{11,n}$ for $n\leq6$. We also prove that the moduli space of polarized $K3$ surfaces of genus eleven with $9$ marked points has non-negative Kodaira dimension.

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Ignacio Barros. 2017-05-15. Geometry of the moduli space of $n$-pointed K3 surfaces of genus 11. https://doi.org/10.1112/blms.12203

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