On the Kodaira dimension of the moduli space of curves of genus 16

Abstract

We show that the moduli space of curves of genus 16 is NOT of general type.

11 pages. Various details added

References in corpus (3)

• The Kodaira dimensions of ${\overline{\mathcal{M}}}_{22}$ and ${\overline{\mathcal{M}}}_{23}$
• On the slope of the moduli space of genus 15 and 16 curves
• Pencils on surfaces with normal crossings and the Kodaira dimension of ${\overline{\mathcal{M}}}_{g,n}$