Surfaces with p_{g}=q=2 and an irrational pencil

Details Surfaces with p_{g}=q=2 and an irrational pencil Surfaces with p_{g}=q=2 and an irrational pencil

2001-10-18

arxiv.org/abs/math/0110204v1

Mathematics

Algebraic Geometry

19J29

Scientific paper

We classify all the irrational pencils over the surfaces of general type with
p=q=2. This classification adds a new evidence to a Catanese conjecture which
states that if S has p=q=2 but no irrational pencils then it is the double
cover of a P.P. Abelian variety branched on a reduced divisor linearly
equivalent to twice a theta divisor.

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