Stringy E-functions of varieties with A-D-E singularities
| dc.creator | Schepers, Jan | |
| dc.date | 2005-11-14 | |
| dc.date | 2005-12-14 | |
| dc.date.accessioned | 2026-07-07T06:51:13Z | |
| dc.date.available | 2026-07-07T06:51:13Z | |
| dc.description | The stringy E-function for normal irreducible complex varieties with at worst log terminal singularities was introduced by Batyrev. It is defined by data from a log resolution. If the variety is projective and Gorenstein and the stringy E-function is a polynomial, Batyrev also defined the stringy Hodge numbers as a generalization of the Hodge numbers of nonsingular projective varieties, and conjectured that they are nonnegative. We compute explicit formulae for the contribution of an A-D-E singularity to the stringy E-function in arbitrary dimension. With these results we can say when the stringy E-function of a variety with such singularities is a polynomial and in that case we prove that the stringy Hodge numbers are nonnegative. | |
| dc.description | 29 pages, 8 figures and 5 tables, to appear in Manuscripta Math | |
| dc.identifier | https://arxiv.org/abs/math/0511348 | |
| dc.identifier | http://arxiv.org/abs/math/0511348 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/104916 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14E15; 14J17; 32S25 | |
| dc.title | Stringy E-functions of varieties with A-D-E singularities | |
| dc.type | text |