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.
|Original language||English (US)|
|Number of pages||26|
|Journal||Communications in Contemporary Mathematics|
|State||Published - May 1999|
All Science Journal Classification (ASJC) codes
- Applied Mathematics