Stringy Hodge numbers for a class of isolated singularities and for threefolds
| dc.creator | Schepers, J. | |
| dc.creator | Veys, W. | |
| dc.date | 2006-03-13 | |
| dc.date | 2009-03-17 | |
| dc.date.accessioned | 2026-07-07T12:52:57Z | |
| dc.date.available | 2026-07-07T12:52:57Z | |
| dc.description | Batyrev has defined the stringy E-function for complex varieties with at most log terminal singularities. It is a rational function in two variables if the singularities are Gorenstein. Furthermore, if the variety is projective and its stringy E-function is a polynomial, Batyrev defined its stringy Hodge numbers essentially as the coefficients of this E-function, generalizing the usual notion of Hodge numbers of a nonsingular projective variety. He conjectured that they are nonnegative. We prove this for a class of `mild' isolated singularities (the allowed singularities depend on the dimension). As a corollary we obtain a proof of Batyrev's conjecture for threefolds in full generality. In these cases, we also give an explicit description of the stringy Hodge numbers and we suggest a possible generalized definition of stringy Hodge numbers if the E-function is not a polynomial. | |
| dc.description | 13 pages, minor inaccuracies from version 2 corrected | |
| dc.identifier | https://arxiv.org/abs/math/0603312 | |
| dc.identifier | http://arxiv.org/abs/math/0603312 | |
| dc.identifier | Int. Math. Res. Not., Vol. 2007, article ID rnm016 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/223464 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14E15; 14J17; 32S50 | |
| dc.title | Stringy Hodge numbers for a class of isolated singularities and for threefolds | |
| dc.type | text |