Brill-Noether loci in codimension two

Details Brill-Noether loci in codimension two Brill-Noether loci in codimension two

2012-01-24

arxiv.org/abs/1201.4948v1

Mathematics

Algebraic Geometry

Scientific paper

Let us consider the locus in the moduli space of curves of genus 2k defined
by curves with a pencil of degree k. Since the Brill-Noether number is equal to
-2, such a locus has codimension two. Using the method of test surfaces, we
compute the class of its closure in the moduli space of stable curves.

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