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Volume and lattice points of reflexive simplices | Benjamin Nill
; | Date: |
23 Dec 2004 | Subject: | Algebraic Geometry; Combinatorics; Number Theory MSC-class: 14J45, 14M25, 52B20, 11D68 | math.AG math.CO math.NT | Abstract: | We prove sharp upper bounds on the volume and the number of lattice points on edges of reflexive simplices. These results are derived from number-theoretic bounds on the denominators of unit fractions summing up to one. As an application we give a sharp upper bound on the anticanonical degree of a Gorenstein toric Fano variety X with class number one, and we completely characterize the case of equality. | Source: | arXiv, math.AG/0412480 | Services: | Forum | Review | PDF | Favorites |
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