Monodromy of a family of hypersurfaces containing a given subvariety

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dc.creatorOtwinowska, Ania
dc.creatorSaito, Morihiko
dc.date2004-04-26
dc.date2005-01-06
dc.date.accessioned2026-07-07T05:07:44Z
dc.date.available2026-07-07T05:07:44Z
dc.descriptionFor a subvariety of a smooth projective variety, consider the family of smooth hypersurfaces of sufficiently large degree containing it, and take the quotient of the middle cohomology of the hypersurfaces by the cohomology of the ambient variety and also by the cycle classes of the irreducible components of the subvariety. Using Deligne's semisimplicity theorem together with Steenbrink's theory for semistable degenerations, we give a simpler proof of the first author's theorem (with a better bound of the degree of hypersurfaces) that this monodromy representation is irreducible.
dc.description23 pages, minor changes
dc.identifierhttps://arxiv.org/abs/math/0404469
dc.identifierhttp://arxiv.org/abs/math/0404469
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/70975
dc.subjectAlgebraic Geometry
dc.subject14D05
dc.titleMonodromy of a family of hypersurfaces containing a given subvariety
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