The pullback of a theta divisor to M_{g,n}

Details The pullback of a theta divisor to M_{g,n} The pullback of a theta divisor to M_{g,n}

2012-03-14

arxiv.org/abs/1203.3102v1

Mathematics

Algebraic Geometry

Scientific paper

We compute the class of a divisor on M_{g,n} given as the closure of the
locus of smooth pointed curves [C; x_1,..., x_n] for which \sum d_j x_j has an
effective representative, where d_j are integers summing up to g-1, not all
positive. The techniques used are a vector bundle computation, a pushdown
argument reducing the number of marked points, and the method of test curves.

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