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

epiga:4902 - Épijournal de Géométrie Algébrique, February 21, 2020, Volume 4 - https://doi.org/10.46298/epiga.2020.volume4.4902
Hyperelliptic classes are rigid and extremal in genus two

Authors: Vance Blankers

    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
    Accepted on: February 21, 2020
    Submitted on: October 19, 2018
    Keywords: Mathematics - Algebraic Geometry
    Fundings :
      Source : OpenAIRE Research Graph
    • FRG: Collaborative Research: Gromov-Witten Theory; Funder: National Science Foundation; Code: 1159964

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