A characterization of the symmetric square of a curve
Algebraic Geometry
2011-03-11 v1 Differential Geometry
Abstract
In this paper a new intrinsic geometric characterization of the symmetric square of a curve and of the ordinary product of two curves is given. More precisely it is shown that the existence on a surface of general type S of irregularity q of an effective divisor D having self-intersection D^2>0 and arithmetic genus q implies that S is either birational to a product of curves or to the second symmetric product of a curve.
Keywords
Cite
@article{arxiv.1008.1790,
title = {A characterization of the symmetric square of a curve},
author = {Margarida Mendes Lopes and Rita Pardini and Gian Pietro Pirola},
journal= {arXiv preprint arXiv:1008.1790},
year = {2011}
}
Comments
International Mathematics Research Notices 2011