Hyperelliptic Szpiro inequality

dc.creatorBogomolov, F.
dc.creatorKatzarkov, L.
dc.creatorPantev, T.
dc.date2001-06-25
dc.date.accessioned2026-07-07T04:42:18Z
dc.date.available2026-07-07T04:42:18Z
dc.descriptionWe 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 non-separating vanishing cycles and the number $D$ of singular fibers satisfy the inequality $N \leq (4g+2)D$.
dc.descriptionLaTeX2e, 27 pages
dc.identifierhttps://arxiv.org/abs/math/0106212
dc.identifierhttp://arxiv.org/abs/math/0106212
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/61726
dc.subjectGeometric Topology
dc.subjectAlgebraic Geometry
dc.titleHyperelliptic Szpiro inequality
dc.typetext

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