Blankers, Vance - Hyperelliptic classes are rigid and extremal in genus two

epiga:4902 - Épijournal de Géométrie Algébrique, February 21, 2020, Volume 4
Hyperelliptic classes are rigid and extremal in genus two

Authors: Blankers, Vance

We show that the class of the locus of hyperelliptic curves with $\ell$ marked Weierstrass points, $m$ marked conjugate pairs of points, and $n$ free marked points is rigid and extremal in the cone of effective codimension-($\ell + m$) classes on $\overline{\mathcal{M}}_{2,\ell+2m+n}$. This generalizes work of Chen and Tarasca and establishes an infinite family of rigid and extremal classes in arbitrarily-high codimension.


Volume: Volume 4
Published on: February 21, 2020
Submitted on: October 19, 2018
Keywords: Mathematics - Algebraic Geometry


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