On hyperelliptic $C^\infty$-Lefschetz fibrations of four-manifolds
Geometric Topology
2007-05-23 v1 Algebraic Geometry
Symplectic Geometry
Abstract
We show that hyperelliptic symplectic Lefschetz fibrations are symplectically birational to two-fold covers of rational ruled surfaces, branched in a symplectically embedded surface. This reduces the classification of genus 2 fibrations to the classification of certain symplectic submanifolds in rational ruled surfaces.
Keywords
Cite
@article{arxiv.math/9903006,
title = {On hyperelliptic $C^\infty$-Lefschetz fibrations of four-manifolds},
author = {B. Siebert and G. Tian},
journal= {arXiv preprint arXiv:math/9903006},
year = {2007}
}
Comments
23 pages, 1 figure, Latex2e with AMS-fonts