Pluricanonical systems on surfaces with small K^2

Details Pluricanonical systems on surfaces with small K^2 Pluricanonical systems on surfaces with small K^2

1998-02-20

arxiv.org/abs/math/9802099v1

Mathematics

Algebraic Geometry

10 pages in AMS-TeX

Scientific paper

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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