Enrique Artal Bartolo (Zaragoza, Spain)
Tpology of Polynomials and Low Dimensional Algebraic Geometry
Lecture 1: Local singularities References:
Braids and algebraic links;
Pencils of Curves.
Lecture 2: Topology of polynomials
links at infinity;
characterization of polynomials good-at-infinity;
tame polynomials and morsifications.
Lecture 3: Zariski-van Kampen theorem and braid monodromy
Zariski-van Kampen method;
Embedded topology of plane curves.
Lecture 4: Discriminant method for tame polynomials
Discriminant of the polar map;
Braid and classical monodromy;
2. E. Artal, J. Carmona, and J.I. Cogolludo, Braid monodromy and topology of plane curves, Duke Math. J. 118 (2003), no. 2, 261-278.
3. M. Escario, Discriminant method for the homological monodromy of tame polynomials, math.AG/0602297.
References:1. V.I. Arnol'd, S.M. Gusein-Zade, and A.N. Varchenko, Singularities of differentiable maps. Vol. II, Birkhauser Boston Inc., Boston, MA, 1988.