Birational smooth minimal models have equal Hodge numbers in all dimensions
| dc.creator | Ito, Tetsushi | |
| dc.date | 2002-09-20 | |
| dc.date | 2002-11-24 | |
| dc.date.accessioned | 2026-07-07T04:51:04Z | |
| dc.date.available | 2026-07-07T04:51:04Z | |
| dc.description | This is a resume of the author's talk at the Worhshop on Arithmetic, Geometry and Physics around Calabi-Yau Varieties and Mirror Symmetry (July 23-29, 2001), the Fields Institute. The aim of this note is to prove that birational smooth minimal models over C have equal Hodge numbers in all dimensions by an arithmetic method. Our method is a refinement of the method of V. Batyrev and C.-L. Wang on Betti numbers who used p-adic integration and the Weil conjecture. Our ingredient is to use further arithmetic results such as the Chebotarev density theorem and p-adic Hodge theory. | |
| dc.description | 14 pages, AMS LaTeX, remarks and references added, to appear in the Proceedings of Calabi-Yau Varieties and Mirror Symmetry | |
| dc.identifier | https://arxiv.org/abs/math/0209269 | |
| dc.identifier | http://arxiv.org/abs/math/0209269 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/65016 | |
| dc.subject | Number Theory | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 11R42; 11S80; 14E05 | |
| dc.title | Birational smooth minimal models have equal Hodge numbers in all dimensions | |
| dc.type | text |