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.
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| Acceso en línea: | http://hdl.handle.net/20.500.12110/paper_1631073X_v350_n5-6_p229_Dickenstein |
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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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