Translated tori in the characteristic varieties of complex hyperplane arrangements
| dc.creator | Suciu, Alexander I. | |
| dc.date | 1999-12-29 | |
| dc.date | 2000-10-09 | |
| dc.date.accessioned | 2026-07-07T05:32:32Z | |
| dc.date.available | 2026-07-07T05:32:32Z | |
| dc.description | We give examples of complex hyperplane arrangements for which the top characteristic variety contains positive-dimensional irreducible components that do not pass through the origin of the character torus. These examples answer several questions of Libgober and Yuzvinsky. As an application, we exhibit a pair of arrangements for which the resonance varieties of the Orlik-Solomon algebra are (abstractly) isomorphic, yet whose characteristic varieties are not isomorphic. The difference comes from translated components, which are not detected by the tangent cone at the origin. | |
| dc.description | Revised and expanded; 16 pages, 10 figures; to appear in Topology and its Applications | |
| dc.identifier | https://arxiv.org/abs/math/9912227 | |
| dc.identifier | http://arxiv.org/abs/math/9912227 | |
| dc.identifier | Topology and Appl. 118 (2002), 209-223 | |
| dc.identifier | doi:10.1016/S0166-8641(01)00052-9 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/79692 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | Combinatorics | |
| dc.subject | 32S22, 52C35 (Primary); 14M12, 57M05 (Secondary) | |
| dc.title | Translated tori in the characteristic varieties of complex hyperplane arrangements | |
| dc.type | text |