On hyperelliptic C∞-Lefschetz fibrations of four-manifolds

Bernd Siebert; Gang Tian

doi:10.1142/S0219199799000110

On hyperelliptic C^∞-Lefschetz fibrations of four-manifolds

Bernd Siebert, Gang Tian

Mathematics

Research output: Contribution to journal › Article › peer-review

19 Scopus citations

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.

Original language	English (US)
Pages (from-to)	255-280
Number of pages	26
Journal	Communications in Contemporary Mathematics
Volume	1
Issue number	2
DOIs	https://doi.org/10.1142/S0219199799000110
State	Published - May 1999

All Science Journal Classification (ASJC) codes

General Mathematics
Applied Mathematics

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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.",

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AB - 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.

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On hyperelliptic C^∞-Lefschetz fibrations of four-manifolds

Abstract

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