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

F. Zucconi
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Abstract

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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F. Zucconi. 2001-10-18. Surfaces with p_{g}=q=2 and an irrational pencil. https://arxiv.org/abs/math/0110204

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