Abstract
The locus of genus-two curves with marked Weierstrass points has codimension inside the moduli space of genus-two curves with marked points, for . It is well known that the class of the closure of the divisor obtained for spans an extremal ray of the cone of effective divisor classes. We generalize this result for all : we show that the class of the closure of the locus of genus-two curves with marked Weierstrass points spans an extremal ray of the cone of effective classes of codimension , for . A related construction produces extremal nef curve classes in moduli spaces of pointed elliptic curves.
Citation
Dawei Chen. Nicola Tarasca. "Extremality of loci of hyperelliptic curves with marked Weierstrass points." Algebra Number Theory 10 (9) 1935 - 1948, 2016. https://doi.org/10.2140/ant.2016.10.1935
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