On rational maps from a general surface in P^3 to surfaces of general type
Algebraic Geometry
2007-08-20 v2
Abstract
We study the dominant rational maps from a general surface in P^{3} to surfaces of general type. We prove restrictions on the target surfaces, and special properties of the rational maps. We show that for a small degree the general surface has no such map. Moreover a slight improvement of a result of Catanese, on the number of moduli of a surface of general type, is also obtained.
Cite
@article{arxiv.math/0611026,
title = {On rational maps from a general surface in P^3 to surfaces of general type},
author = {Lucio Guerra and Gian Pietro Pirola},
journal= {arXiv preprint arXiv:math/0611026},
year = {2007}
}
Comments
19 pages, accepted in Advances in Geometry