Article ID Journal Published Year Pages File Type
4597983 Journal of Pure and Applied Algebra 2008 10 Pages PDF
Abstract

We investigate the nef cone spanned by the diagonal and the fibre classes of second symmetric product of a curve of genus gg. This 2-dimensional nef cone gives a characterization of double covers of curves of genus ≤g−18. This is a generalization of a result by Debarre [Olivier Debarre, Seshadri constants of abelian varieties, in: The Fano Conference, Univ. Torino, Turin, 2004, pp. 379–394, Proposition 8].

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Physical Sciences and Engineering Mathematics Algebra and Number Theory
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