Classifying smooth lattice polytopes via toric fibrations |
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Authors: | Alicia Dickenstein Sandra Di Rocco Ragni Piene |
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Institution: | a Departamento de Matemática, FCEN, Universidad de Buenos Aires, Ciudad Universitaria - Pab. I, (1428) Buenos Aires, Argentina b Department of Mathematics, KTH, SE-10044 Stockholm, Sweden c CMA/Department of Mathematics, University of Oslo, PO Box 1053 Blindern, NO-0316 Oslo, Norway |
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Abstract: | We show that any smooth Q-normal lattice polytope P of dimension n and degree d is a strict Cayley polytope if n?2d+1. This gives a sharp answer, for this class of polytopes, to a question raised by V.V. Batyrev and B. Nill. |
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Keywords: | 14M25 52B20 |
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