Discriminant Complements and Kernels of Monodromy Representations

James A. Carlson; Domingo Toledo

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arXiv · alg-geom/9708002

Discriminant Complements and Kernels of Monodromy Representations

James A. Carlson·Domingo Toledo

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Abstract

We 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.

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James A. Carlson, Domingo Toledo. 1998-05-11. Discriminant Complements and Kernels of Monodromy Representations. https://arxiv.org/abs/alg-geom/9708002

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