Monodromy of a family of hypersurfaces containing a given subvariety

Details Monodromy of a family of hypersurfaces containing a given subvariety Monodromy of a family of hypersurfaces containing a given subvariety

2004-04-26

arxiv.org/abs/math/0404469v2

Mathematics

Algebraic Geometry

23 pages, minor changes

Scientific paper

For 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.

Affiliated with

Also associated with

No associations

Rating

Monodromy of a family of hypersurfaces containing a given subvariety does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Monodromy of a family of hypersurfaces containing a given subvariety, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Monodromy of a family of hypersurfaces containing a given subvariety will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-511204