Classifying smooth lattice polytopes via toric fibrations

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We show that any smooth Q-normal lattice polytope P of dimension n and degree d is a strict Cayley polytope if n ≥ 2 d + 1. This gives a sharp answer, for this class of polytopes, to a question raised by V.V. Batyrev and B. Nill. © 2009 Elsevier Inc. All rights reserved.

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Detalles Bibliográficos
Autores principales: Dickenstein, A., Di Rocco, S., Piene, R.
Formato: JOUR
Materias:
Cayley polytope
Lattice polytope
Nef value
Toric fibration
Toric variety
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_00018708_v222_n1_p240_Dickenstein
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
Descripción
Sumario:We show that any smooth Q-normal lattice polytope P of dimension n and degree d is a strict Cayley polytope if n ≥ 2 d + 1. This gives a sharp answer, for this class of polytopes, to a question raised by V.V. Batyrev and B. Nill. © 2009 Elsevier Inc. All rights reserved.

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