Bicanonical and adjoint linear systems on surfaces of general type

Details Bicanonical and adjoint linear systems on surfaces of general type Bicanonical and adjoint linear systems on surfaces of general type

2002-12-28

arxiv.org/abs/math/0212362v2

Mathematics

Algebraic Geometry

12 pages, AMSLaTeX, references and acknowledgement changed

Scientific paper

This note contains a new proof of a theorem of Gang Xiao saying that the
bicanonical map of a surface S of general type is generically finite if and
only if the second plurigenus of S is strictly larger than 2. Such properties
are also studied for adjoint linear systems |K_S+L|, where L is any divisor
with at least 2 linearly independent sections.

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