Betti Bounds of Polynomials

Details Betti Bounds of Polynomials Betti Bounds of Polynomials

2011-01-19

arxiv.org/abs/1101.3678v1

Moscow Math. J. 11, no. 3 (2011), 599-615

Mathematics

Algebraic Geometry

17 pages, 2 figures

Scientific paper

We initiate a classification of complex polynomials f of degree d having the top Betti number of the general fibre close to the maximum. We find a range in which the polynomial must have isolated singularities and another range where it may have at most a line singularity of Morse transversal type, besides controlled singularities at infinity. Our method uses deformations into particular pencils with non-isolated singularities.

Affiliated with

Also associated with

No associations

Rating

Betti Bounds of Polynomials 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 Betti Bounds of Polynomials, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Betti Bounds of Polynomials will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-156564