Inequivalent Lefschetz fibrations on rational and ruled surfaces

R. Inanc Baykur

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arXiv · 1806.00375

Inequivalent Lefschetz fibrations on rational and ruled surfaces

R. Inanc Baykur

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Abstract

In this short note, we give an explicit construction of inequivalent Lefschetz pencils and fibrations of same genera on blow-ups of all rational and ruled surfaces. This complements our earlier results, concluding that every symplectic 4-manifold, after sufficiently many blow-ups, admits inequivalent Lefschetz pencils and fibrations, which cannot be obtained from one another even via any sequence of fibered Luttinger surgeries.

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R. Inanc Baykur. 2018-06-01. Inequivalent Lefschetz fibrations on rational and ruled surfaces. https://arxiv.org/abs/1806.00375

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