The Severi inequality $K^2\ge 4\chi$ for surfaces of maximal Albanese dimension
Algebraic Geometry
2009-11-10 v3
Abstract
We prove the so-called Severi inequality, stating that the invariants of a minimal smooth complex projective surface of maximal Albanese dimension satisfy: K^2_S >= 4\chi(S).
Keywords
Cite
@article{arxiv.math/0403170,
title = {The Severi inequality $K^2\ge 4\chi$ for surfaces of maximal Albanese dimension},
author = {Rita Pardini},
journal= {arXiv preprint arXiv:math/0403170},
year = {2009}
}
Comments
Final version: proof slightly simplified, a reference added