Symplectic Parshin-Arakelov inequality
Symplectic Geometry
2007-05-23 v1 Algebraic Geometry
Abstract
Lefschetz fibration is the symplectic analogue of stable holomorphic fibration in complex geometry. A 4-dimensional stable holomorphic fibration satisfies the famous Parshin-Arakelov inequality. In this note we present an analogous inequality for a 4-dimensional Lefschetz fibration.
Keywords
Cite
@article{arxiv.math/0109028,
title = {Symplectic Parshin-Arakelov inequality},
author = {Tian-Jun Li},
journal= {arXiv preprint arXiv:math/0109028},
year = {2007}
}