Pluricanonical systems on surfaces with small K^2

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We prove that the bicanonical system on a surface of general type with K^2=4 has no base components and describe clusters contracted by 4K_X for a numerical Godeaux surface and 3K_X for a numerical Campedelli surface.
10 pages in AMS-TeX

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Algebraic Geometry

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http://salesiana.dossiersoluciones.com/handle/123456789/76632

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/9802099
 http://arxiv.org/abs/math/9802099

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arXiv