Abstract

We introduce the package HodgeIntegrals, which calculates top intersection numbers among tautological classes on ${\overline{\mathcal{ℳ}}}_{g,n}$. As an application, we show that the tautological ring of the moduli space ${\mathcal{ℳ}}_{3,0}^{{\lambda }_2}$ of genus three curves whose dual graph has at most one loop is not Gorenstein.

Mathematical Subject Classification 2010

Supplementary material

HodgeIntegrals source code

Milestones

Authors