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Pluricanonical systems on surfaces with small K^2

Adrian Langer
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Abstract

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.

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Adrian Langer. 1998-02-20. Pluricanonical systems on surfaces with small K^2. https://arxiv.org/abs/math/9802099

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