Seshadri constants on symmetric products of curves

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Let X_g=C^{(2)}_g be the second symmetric product of a very general curve of genus g. We reduce the problem of describing the ample cone on X_g to a problem involving the Seshadri constant of a point on X_{g-1}. Using this we recover a result of Ciliberto-Kouvidakis that reduces finding the ample cone of X_g to the Nagata conjecture when g\ge 9. We also give new bounds on the the ample cone of X_g when g=5.
Minor corrections, mostly typographical and exposition improved

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Algebraic Geometry, 14C20, 14Q10

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http://salesiana.dossiersoluciones.com/handle/123456789/115348

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0608224
 http://arxiv.org/abs/math/0608224

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arXiv