Stringy Hodge numbers of varieties with Gorenstein canonical singularities
| dc.creator | Batyrev, Victor V. | |
| dc.date | 1997-11-06 | |
| dc.date | 1998-03-16 | |
| dc.date.accessioned | 2026-07-07T01:51:16Z | |
| dc.date.available | 2026-07-07T01:51:16Z | |
| dc.description | We introduce the notion of stringy E-function for an arbitrary normal irreducible algebraic variety X with at worst log-terminal singularities. We prove some basic properties of stringy E-functions and compute them explicitly for arbitrary Q-Gorenstein toric varieties. Using stringy E-functions, we propose a general method to define stringy Hodge numbers for projective algebraic varieties with at worst Gorenstein canonical singularities. This allows us to formulate the topological mirror duality test for arbitrary Calabi-Yau varieties with canonical singularities. In Appendix we explain non-Archimedian integrals over spaces of arcs. We need these integrals for the proof of the main technical statement used in the definition of stringy Hodge numbers. | |
| dc.description | 26 pages, AMSLaTeX, to appear in the Proceedings of Taniguchi Symposium 1997,"Integrable Systems and Algebraic Geometry, Kobe/Kyoto" | |
| dc.identifier | https://arxiv.org/abs/alg-geom/9711008 | |
| dc.identifier | http://arxiv.org/abs/alg-geom/9711008 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/255 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | Stringy Hodge numbers of varieties with Gorenstein canonical singularities | |
| dc.type | text |