A characterization of double covers of curves in terms of the ample cone of second symmetric product

Details A characterization of double covers of curves in terms of the ample cone of second symmetric product A characterization of double covers of curves in terms of the ample cone of second symmetric product

2008-04-21

arxiv.org/abs/0804.3286v2

Mathematics

Algebraic Geometry

13 pages, to appear in J. Pure App. Algebra

Scientific paper

We investigate the nef cone spanned by the diagonal and the fibre classes of
second symmetric product of a curve of genus $g$. This 2-dimensional nef cone
gives a characterization of double covers of curves of genus $\le
\frac{g-1}{8}$. This is a generalization of a result by Debarre.

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