Universiteit Faculteit FNWI English version | 8 april 2008, e-mail |
Woensdag 16 april 2008
AbstractTwo polynomials P,Q in C[X_{1},...,X_{n}] are said to be equivalent if there exists a polynomial automorphism φ of C[X_{1},...,X_{n}] such that φ(P)=Q. Geometrically, it means that the hypersurfaces {P=0} and {Q=0} have equivalent embeddings in C^{n}.The question of equivalence of two given polynomials is a natural but difficult question in general. In this talk, we will explain, using explicit examples, what kind of obstructions may occur. We will also discuss the question of stable equivalence and will construct, for every n ≥ 3, polynomials in C[X_{1},...,X_{n}] which are not equivalent but, when considered as polynomials in n+1 variables, become equivalent. |