Regular functions transversal at infinity

Dimca, Alexandru; Libgober, Anatoly

Tohoku Math. J. (2), Tome 58 (2006) no. 1, p. 549-564 / Harvested from Project Euclid

Résumé

We generalize and complete some of Maxim's recent results on Alexander invariants of a polynomial transversal to the hyperplane at infinity. Roughly speaking, and surprisingly, such a polynomial behaves, both topologically and algebraically (e.g., in terms of the variation of MHS on the cohomology of its smooth fibers), like a homogeneous polynomial.

Publié le : 2006-12-14
Classification: Hypersurface complement, Alexander polynomials, local system, Milnor fiber, perverse sheaves, mixed Hodge structure, 32S20, 32S22, 32S35, 32S40, 32S55, 32S60, 14D05, 14J70, 14F17, 14F45

@article{1170347689,
     author = {Dimca, Alexandru and Libgober, Anatoly},
     title = {Regular functions transversal at infinity},
     journal = {Tohoku Math. J. (2)},
     volume = {58},
     number = {1},
     year = {2006},
     pages = { 549-564},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1170347689}
}

Dimca, Alexandru; Libgober, Anatoly. Regular functions transversal at infinity. Tohoku Math. J. (2), Tome 58 (2006) no. 1, pp.  549-564. http://gdmltest.u-ga.fr/item/1170347689/