Lefschetz fibrations with small slope

Abstract

We construct Lefschetz fibrations over $S^2$ which do not satisfy the slope inequality. This gives a negative answer to a question of Hain.

9 pages, 2 figures, Main changes are the corrections of the statement and proof of Theorem 1.5. This version correct the statements and proofs of Corollary 1.3 and 1.4

References in corpus (1)

• Monodromy Substitutions and Rational Blowdowns

Cited by in corpus (2)

• Non-holomorphic Lefschetz fibrations with $(-1)$-sections
• Lefschetz pencils and finitely presented groups