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arXiv · 1501.07299

Effective Matsusaka's Theorem for surfaces in characteristic p

Gabriele Di Cerbo·Andrea Fanelli
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Abstract

We obtain an effective version of Matsusaka's theorem for arbitrary smooth algebraic surfaces in positive characteristic, which provides an effective bound on the multiple which makes an ample line bundle D very ample. The proof for pathological surfaces is based on a Reider-type theorem. As a consequence, a Kawamata-Viehweg-type vanishing theorem is proved for arbitrary smooth algebraic surfaces in positive characteristic.

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Gabriele Di Cerbo, Andrea Fanelli. 2015-05-22. Effective Matsusaka's Theorem for surfaces in characteristic p. https://doi.org/10.2140/ant.2015.9.1453

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