The Fermat cubic and special Hurwitz loci in Mg

Farkas, Gavril
December 2009
Bulletin of the Belgian Mathematical Society - Simon Stevin;Dec2009, Vol. 16 Issue 5, p831
Academic Journal
We compute the class of the compactified Hurwitz divisor TRd in M2d-3 consisting of curves of genus g = 2d - 3 having a pencil g1d with two unspecified triple ramification points. This is the first explicit example of a geometric divisor on Mg which is not pulled-back form the moduli space of pseudo-stable curves. We show that the intersection of TRd with the boundary divisor Δ1 in Mg picks-up the locus of Fermat cubic tails.


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