Stringy E-functions of hypersurfaces and of Brieskorn singularities
| dc.creator | Schepers, J. | |
| dc.creator | Veys, W. | |
| dc.date | 2007-06-06 | |
| dc.date.accessioned | 2026-07-07T08:04:19Z | |
| dc.date.available | 2026-07-07T08:04:19Z | |
| dc.description | We show that for a hypersurface Batyrev's stringy E-function can be seen as a residue of the Hodge zeta function, a specialization of the motivic zeta function of Denef and Loeser. This is a nice application of inversion of adjunction. If an affine hypersurface is given by a polynomial that is non-degenerate with respect to its Newton polyhedron, then the motivic zeta function and thus the stringy E-function can be computed from this Newton polyhedron (by work of Artal, Cassou-Nogues, Luengo and Melle based on an algorithm of Denef and Hoornaert). We use this procedure to obtain an easy way to compute the contribution of a Brieskorn singularity to the stringy E-function. As a corollary, we prove that stringy Hodge numbers of varieties with a certain class of strictly canonical Brieskorn singularities are nonnegative. We conclude by computing an interesting 6-dimensional example. It shows that a result, implying nonnegativity of stringy Hodge numbers in lower dimensional cases, obtained in our previous paper, is not true in higher dimension. | |
| dc.description | 21 pages | |
| dc.identifier | https://arxiv.org/abs/0706.0798 | |
| dc.identifier | http://arxiv.org/abs/0706.0798 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/129916 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14E15, 14J17, 32S25 | |
| dc.title | Stringy E-functions of hypersurfaces and of Brieskorn singularities | |
| dc.type | text |