Non vanishing loci of Hodge numbers of local systems
| dc.creator | Libgober, A. | |
| dc.date | 2007-01-21 | |
| dc.date | 2008-10-17 | |
| dc.date.accessioned | 2026-07-07T10:11:18Z | |
| dc.date.available | 2026-07-07T10:11:18Z | |
| dc.description | We show that closures of families of unitary local systems on quasiprojective varieties for which the dimension of a graded component of Hodge filtration has a constant value can be identified with a finite union of polytopes. We also present a local version of the theorem. This yields the "Hodge decomposition" of the set of unitary local systems with a non-vanishing cohomology extending Hodge decomposition of characteristic varieties of links of plane curves studied by the author earlier. We consider a twisted version of the characteristic varieties generalizing the twisted Alexander polynomials. Several explicit calculations for complements to arrangements are made. | |
| dc.description | Final version. To appear in Manuscripta Mathematica | |
| dc.identifier | https://arxiv.org/abs/math/0701597 | |
| dc.identifier | http://arxiv.org/abs/math/0701597 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/171825 | |
| dc.subject | Algebraic Geometry | |
| dc.title | Non vanishing loci of Hodge numbers of local systems | |
| dc.type | text |