Discriminant Complements and Kernels of Monodromy Representations

dc.creatorCarlson, James A.
dc.creatorToledo, Domingo
dc.date1997-08-01
dc.date1998-05-11
dc.date.accessioned2026-07-07T08:58:11Z
dc.date.available2026-07-07T08:58:11Z
dc.descriptionWe show that the kernel of the monodromy representation for hypersurfaces of degree d and dimension n is large for d at least three with the exception of the cases (d,n) = (3,0) and (3,1). For these the kernel is finite. By "large" we mean a group that admits a homomorphism to a semisimple Lie group of noncompact type with Zariski-dense image. By the Tits alternative a large group contains a free subgroup of rank two.
dc.description20 page dvi file available at http://www.math.utah.edu/~carlson/eprints.html Minor changes for final version to appear in Duke J. Math
dc.identifierhttps://arxiv.org/abs/alg-geom/9708002
dc.identifierhttp://arxiv.org/abs/alg-geom/9708002
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/147222
dc.subjectAlgebraic Geometry
dc.subject14E20, 14C30
dc.titleDiscriminant Complements and Kernels of Monodromy Representations
dc.typetext

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