Products of pairs of Dehn twists and maximal real Lefschetz fibrations

Details Products of pairs of Dehn twists and maximal real Lefschetz fibrations Products of pairs of Dehn twists and maximal real Lefschetz fibrations

2011-10-18

arxiv.org/abs/1110.4093v2

Mathematics

Algebraic Geometry

A few remarks and references added; some definitions and proofs clarified

Scientific paper

We address the problem of existence and uniqueness of a factorization of a
given element of the modular group into a product of two Dehn twists. As a
geometric application, we conclude that any maximal real elliptic Lefschetz
fibration is algebraic.

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