Regular Functions Transversal at Infinity
| dc.creator | Dimca, Alexandru | |
| dc.creator | Libgober, Anatoly | |
| dc.date | 2005-04-07 | |
| dc.date.accessioned | 2026-07-07T05:18:52Z | |
| dc.date.available | 2026-07-07T05:18:52Z | |
| dc.description | 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. | |
| dc.description | This is a substantial improvement of the paper "Alexander Invariants and Transversality" by the first author, see math.AG/0411329. Both the topology and the associated mixed Hodge structures (not touched in the previous paper) are clearly described | |
| dc.identifier | https://arxiv.org/abs/math/0504128 | |
| dc.identifier | http://arxiv.org/abs/math/0504128 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/74817 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | Algebraic Topology | |
| dc.subject | 32S20, 32S22, 32S35, 14D05, 14J70 | |
| dc.title | Regular Functions Transversal at Infinity | |
| dc.type | text |