Algebraic K-theory of toric hypersurfaces
| dc.creator | Kerr, Matt | |
| dc.creator | Doran, Charles | |
| dc.date | 2008-09-26 | |
| dc.date.accessioned | 2026-07-07T10:05:48Z | |
| dc.date.available | 2026-07-07T10:05:48Z | |
| dc.description | We construct classes in the motivic cohomology of certain 1-parameter families of Calabi-Yau hypersurfaces in toric Fano n-folds, with applications to local mirror symmetry (growth of genus 0 instanton numbers) and inhomogeneous Picard-Fuchs equations. In the case where the family is classically modular the classes are related to Belinson's Eisenstein symbol; the Abel-Jacobi map (or rational regulator) is computed in this paper for both kinds of cycles. For the "modular toric" families where the cycles essentially coincide, we obtain a motivic (and computationally effective) explanation of a phenomenon observed by Villegas, Stienstra, and Bertin. | |
| dc.description | 139 pages, 15 figures | |
| dc.identifier | https://arxiv.org/abs/0809.4669 | |
| dc.identifier | http://arxiv.org/abs/0809.4669 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/170117 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | Number Theory | |
| dc.title | Algebraic K-theory of toric hypersurfaces | |
| dc.type | text |