Classifying smooth lattice polytopes via toric fibrations

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
Autor principal: Dickenstein, Alicia Marcela
Publicado: 2009
Materias:
Cayley polytope
Lattice polytope
Nef value
Toric fibration
Toric variety
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00018708_v222_n1_p240_Dickenstein
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 paper:paper_00018708_v222_n1_p240_Dickenstein
record_format dspace
spelling paper:paper_00018708_v222_n1_p240_Dickenstein2025-07-30T17:06:03Z Classifying smooth lattice polytopes via toric fibrations Dickenstein, Alicia Marcela 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 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00018708_v222_n1_p240_Dickenstein 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)
topic Cayley polytope
Lattice polytope
Nef value
Toric fibration
Toric variety
spellingShingle Cayley polytope
Lattice polytope
Nef value
Toric fibration
Toric variety
Dickenstein, Alicia Marcela
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.
author Dickenstein, Alicia Marcela
author_facet Dickenstein, Alicia Marcela
author_sort Dickenstein, Alicia Marcela
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 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00018708_v222_n1_p240_Dickenstein
http://hdl.handle.net/20.500.12110/paper_00018708_v222_n1_p240_Dickenstein
work_keys_str_mv AT dickensteinaliciamarcela classifyingsmoothlatticepolytopesviatoricfibrations
_version_ 1840321070203142144

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