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Brill–Noether loci in codimension two
Published online by Cambridge University Press: 07 August 2013
Abstract
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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- © The Author(s) 2013
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