Surfaces with p_{g}=q=2 and an irrational pencil
Algebraic Geometry
2007-05-23 v1
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.
Cite
@article{arxiv.math/0110204,
title = {Surfaces with p_{g}=q=2 and an irrational pencil},
author = {F. Zucconi},
journal= {arXiv preprint arXiv:math/0110204},
year = {2007}
}
Comments
19J29