Scopul nostru este sprijinirea şi promovarea cercetării ştiinţifice şi facilitarea comunicării între cercetătorii români din întreaga lume.
Autori: D.C. Cohen, G. Denham, A.I. Suciu
Editorial: Algebraic and Geometric Topology, 3, p.511-535, 2003.
In a recent paper, Dimca and Nemethi pose the problem of finding a homogeneous polynomial f such that the homology of the complement of the hypersurface defined by f is torsion-free, but the homology of the Milnor fiber of f has torsion. We prove that this is indeed possible, and show by construction that, for each prime p, there is a polynomial with p-torsion in the homology of the Milnor fiber. The techniques make use of properties of characteristic varieties of hyperplane arrangements.
Cuvinte cheie: Multi-arrangement of hyperplanes, Milnor fiber, characteristic varieties, torsion in homology