Surfaces with many nodes

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We describe smooth rational projective algebraic surfaces over an algebraically closed field of characteristic different from 2 which contain $n \ge \b_2-2$ disjoint smooth rational curves with self-intersection -2, where $\b_2$ is the second Betti number. In the last section this is applied to the study of minimal complex surfaces of general type with $p_g = 0$ and $K^2 = 8, 9$ which admit an automorphism of order 2.
Latex 2e, 17 pages

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Algebraic Geometry

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http://salesiana.dossiersoluciones.com/handle/123456789/60331

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0011087
 http://arxiv.org/abs/math/0011087

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arXiv