Volume and lattice points of reflexive simplices
| dc.creator | Nill, Benjamin | |
| dc.date | 2004-12-23 | |
| dc.date | 2007-01-15 | |
| dc.date.accessioned | 2026-07-07T07:48:27Z | |
| dc.date.available | 2026-07-07T07:48:27Z | |
| dc.description | We prove sharp upper bounds on the volume and the number of lattice points on edges of higher-dimensional reflexive simplices. These convex-geometric results are derived from new number-theoretic bounds on the denominators of unit fractions summing up to one. The main algebro-geometric application is a sharp upper bound on the anticanonical degree of higher-dimensional Q-factorial Gorenstein toric Fano varieties with Picard number one, where we completely characterize the case of equality. | |
| dc.description | AMS-LaTeX, 19 pages; paper reorganized, introduction added, bibliography updated; typos corrected | |
| dc.identifier | https://arxiv.org/abs/math/0412480 | |
| dc.identifier | http://arxiv.org/abs/math/0412480 | |
| dc.identifier | Discr. Comp. Geom. 37 (2007), 301-320 | |
| dc.identifier | doi:10.1007/s00454-006-1299-y | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/124507 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | Combinatorics | |
| dc.subject | Number Theory | |
| dc.subject | 14M25, 14J45; 52B20; 11D75, 11H06 | |
| dc.title | Volume and lattice points of reflexive simplices | |
| dc.type | text |