THE FERMAT CUBIC AND SPECIAL HURWITZ LOCI IN Mg
نویسنده
چکیده
Hurwitz loci have played a basic role in the study of themoduli space of curves at least since 1872 when Clebsch proved that Mg is irreducible by showing that a certain Hurwitz space is connected. Hurwitz cycles on Mg are essential in the work of Harris and Mumford [HM] on the Kodaira dimension of Mg and are expected to govern the length of minimal affine stratifications of Mg. Faber and Pandharipande have proved that the class of any Hurwitz cycle on Mg,n is tautological (cf. [FP]). Very few explicit formulas for the classes of such cycles are known.
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