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: Artículo publishedVersion
Lenguaje:Inglés
Publicado: 2009
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
id paperaa:paper_00018708_v222_n1_p240_Dickenstein
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spelling paperaa:paper_00018708_v222_n1_p240_Dickenstein2023-06-12T16:39:28Z Classifying smooth lattice polytopes via toric fibrations Adv. Math. 2009;222(1):240-254 Dickenstein, A. Di Rocco, S. Piene, R. Cayley polytope Lattice polytope Nef value Toric fibration Toric variety 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. Fil:Dickenstein, A. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 2009 info:eu-repo/semantics/article info:ar-repo/semantics/artículo info:eu-repo/semantics/publishedVersion application/pdf eng info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_00018708_v222_n1_p240_Dickenstein
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
language Inglés
orig_language_str_mv eng
topic Cayley polytope
Lattice polytope
Nef value
Toric fibration
Toric variety
spellingShingle Cayley polytope
Lattice polytope
Nef value
Toric fibration
Toric variety
Dickenstein, A.
Di Rocco, S.
Piene, R.
Classifying smooth lattice polytopes via toric fibrations
topic_facet Cayley polytope
Lattice polytope
Nef value
Toric fibration
Toric variety
description 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.
format Artículo
Artículo
publishedVersion
author Dickenstein, A.
Di Rocco, S.
Piene, R.
author_facet Dickenstein, A.
Di Rocco, S.
Piene, R.
author_sort Dickenstein, A.
title Classifying smooth lattice polytopes via toric fibrations
title_short Classifying smooth lattice polytopes via toric fibrations
title_full Classifying smooth lattice polytopes via toric fibrations
title_fullStr Classifying smooth lattice polytopes via toric fibrations
title_full_unstemmed Classifying smooth lattice polytopes via toric fibrations
title_sort classifying smooth lattice polytopes via toric fibrations
publishDate 2009
url http://hdl.handle.net/20.500.12110/paper_00018708_v222_n1_p240_Dickenstein
work_keys_str_mv AT dickensteina classifyingsmoothlatticepolytopesviatoricfibrations
AT diroccos classifyingsmoothlatticepolytopesviatoricfibrations
AT piener classifyingsmoothlatticepolytopesviatoricfibrations
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