The Picard-Lefschetz formula and a conjecture of Kato, the case of Lefschetz fibrations

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dc.creatorConsani, Caterina
dc.creatorKim, Minhyong
dc.date2002-07-05
dc.date.accessioned2026-07-07T04:49:34Z
dc.date.available2026-07-07T04:49:34Z
dc.descriptionA conjecture of Kato says that the monodromy operator on the cohomology of a semi-stable degeneration of projective varieties is represented by an algebraic cycle on the special fiber of a normal crossing model of the fiber product degeneration. We prove this conjecture in the simple case of a semi-stable degeneration arising from a Lefschetz fibration.
dc.identifierhttps://arxiv.org/abs/math/0207059
dc.identifierhttp://arxiv.org/abs/math/0207059
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/64467
dc.subjectAlgebraic Geometry
dc.subjectNumber Theory
dc.subject14F42
dc.titleThe Picard-Lefschetz formula and a conjecture of Kato, the case of Lefschetz fibrations
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