Polarized Pushouts for Finite Fields

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Let p: Y--> X be a surjection between schemes projective over the algebraic closure of a finite field. Let L be a line bundle on X such that p^*(L) is globally generated. I give a natural necessary and sufficient condition under which some positive tensor power of L is globally generated. I apply this to give a sufficient condition for semi-ampleness of nef line bundles on the moduli space of stable pointed curves, in positive characteristic.
Final Version. To appear in K60 volume of Communications in Algebra

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Algebraic Geometry

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http://salesiana.dossiersoluciones.com/handle/123456789/63860

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0204243
 http://arxiv.org/abs/math/0204243

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arXiv