Stringy Hodge numbers and p-adic Hodge theory
| dc.creator | Ito, Tetsushi | |
| dc.date | 2002-11-24 | |
| dc.date | 2003-07-31 | |
| dc.date.accessioned | 2026-07-07T04:53:15Z | |
| dc.date.available | 2026-07-07T04:53:15Z | |
| dc.description | The aim of this paper is to give an application of p-adic Hodge theory to stringy Hodge numbers introduced by V. Batyrev for a mathematical formulation of mirror symmetry. Since the stringy Hodge numbers of an algebraic variety are defined by choosing a resolution of singularities, the well-definedness is not clear from the definition. We give a proof of the well-definedness based on arithmetic results such as p-adic integration and p-adic Hodge theory. Note that another proof of the well-definedness was already obtained by V. Batyrev himself by motivic integration. This is a generalization of the author's earlier work in math.NT/0209269, where he treats only the smooth case. | |
| dc.description | 23 pages, AMS LaTeX, minor modifications, references added, to appear in Compositio Mathematica | |
| dc.identifier | https://arxiv.org/abs/math/0211378 | |
| dc.identifier | http://arxiv.org/abs/math/0211378 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/65773 | |
| dc.subject | Number Theory | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 11R42; 11S80; 14E05 | |
| dc.title | Stringy Hodge numbers and p-adic Hodge theory | |
| dc.type | text |