Vol. 2, No. 1, 2010

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Intersection numbers on $\overline{\mathscr{M}}_{g,n}$

Stephanie Yang

Vol. 2 (2010), 1–5

We introduce the package HodgeIntegrals, which calculates top intersection numbers among tautological classes on ¯g,n. As an application, we show that the tautological ring of the moduli space 3,0λ2 of genus three curves whose dual graph has at most one loop is not Gorenstein.

Mathematical Subject Classification 2010
Primary: 14Q05
Secondary: 14H10
Supplementary material

HodgeIntegrals source code

Received: 28 April 2009
Revised: 29 January 2010
Accepted: 17 April 2010
Stephanie Yang
Institutionen för Matematik
Kungliga Tekniska Högskolan
SE-100 44 Stockholm