Classifying smooth lattice polytopes via toric fibrations

Mostrar todas las versiones(3)

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.

Guardado en:
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
id todo:paper_00018708_v222_n1_p240_Dickenstein
record_format dspace
spelling todo:paper_00018708_v222_n1_p240_Dickenstein2023-10-03T13:52:16Z Classifying smooth lattice polytopes via toric fibrations 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. JOUR 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)
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 JOUR
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
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
_version_ 1782028082658410496

Ejemplares similares