A relation between number of integral points, volumes of faces and degree of the discriminant of smooth lattice polytopes

We present a formula for the degree of the discriminant of a smooth projective toric variety associated to a lattice polytope P, in terms of the number of integral points in the interior of dilates of faces of dimension greater or equal than {top left corner}dimP/2{top right corner}. © 2012.

Detalles Bibliográficos
Autores principales: Dickenstein, A., Nill, B., Vergne, M.
Formato: JOUR
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_1631073X_v350_n5-6_p229_Dickenstein
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spelling todo:paper_1631073X_v350_n5-6_p229_Dickenstein2023-10-03T16:28:35Z A relation between number of integral points, volumes of faces and degree of the discriminant of smooth lattice polytopes Dickenstein, A. Nill, B. Vergne, M. We present a formula for the degree of the discriminant of a smooth projective toric variety associated to a lattice polytope P, in terms of the number of integral points in the interior of dilates of faces of dimension greater or equal than {top left corner}dimP/2{top right corner}. © 2012. 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_1631073X_v350_n5-6_p229_Dickenstein
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
description We present a formula for the degree of the discriminant of a smooth projective toric variety associated to a lattice polytope P, in terms of the number of integral points in the interior of dilates of faces of dimension greater or equal than {top left corner}dimP/2{top right corner}. © 2012.
format JOUR
author Dickenstein, A.
Nill, B.
Vergne, M.
spellingShingle Dickenstein, A.
Nill, B.
Vergne, M.
A relation between number of integral points, volumes of faces and degree of the discriminant of smooth lattice polytopes
author_facet Dickenstein, A.
Nill, B.
Vergne, M.
author_sort Dickenstein, A.
title A relation between number of integral points, volumes of faces and degree of the discriminant of smooth lattice polytopes
title_short A relation between number of integral points, volumes of faces and degree of the discriminant of smooth lattice polytopes
title_full A relation between number of integral points, volumes of faces and degree of the discriminant of smooth lattice polytopes
title_fullStr A relation between number of integral points, volumes of faces and degree of the discriminant of smooth lattice polytopes
title_full_unstemmed A relation between number of integral points, volumes of faces and degree of the discriminant of smooth lattice polytopes
title_sort relation between number of integral points, volumes of faces and degree of the discriminant of smooth lattice polytopes
url http://hdl.handle.net/20.500.12110/paper_1631073X_v350_n5-6_p229_Dickenstein
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