On hyperelliptic C-infinity-Lefschetz fibrations of four-manifolds

Authors
Siebert, B Tian, G
Citation
B. Siebert et G. Tian, On hyperelliptic C-infinity-Lefschetz fibrations of four-manifolds, COMMUN C M, 1(2), 1999, pp. 255-280
Citations number
17
Categorie Soggetti
Mathematics
Journal title
COMMUNICATIONS IN CONTEMPORARY MATHEMATICS
ISSN journal
02191997 → ACNP
Volume
1
Issue
2
Year of publication
1999
Pages
255 - 280
Database
ISI
SICI code
0219-1997(199905)1:2<255:OHCFOF>2.0.ZU;2-C
Abstract
We show that hyperelliptic symplectic Lefschetz fibrations are symplectical ly 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 rat ional ruled surfaces.