Abstract
We generalize the classical Szpiro inequality to the case of a semistable family of hyperelliptic curves. We show that for a semistable symplectic Lefschetz fibration of hyperelliptic curves of genus g, the number N of nonseparating vanishing cycles and the number D of singular fibers satisfy the inequality N ≤ (4g + 2)D.
Citation
Fedor Bogomolov. Ludmil Katzarkov. Tony Pantev. "Hyperelliptic Szpiro Inequality." J. Differential Geom. 61 (1) 51 - 80, May, 2002. https://doi.org/10.4310/jdg/1090351320
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