Betti Bounds of Polynomials
Algebraic Geometry
2011-09-01 v1 Complex Variables
Abstract
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.
Cite
@article{arxiv.1101.3678,
title = {Betti Bounds of Polynomials},
author = {Dirk Siersma and Mihai Tibar},
journal= {arXiv preprint arXiv:1101.3678},
year = {2011}
}
Comments
17 pages, 2 figures