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dc.contributor.author
Dickenstein, Alicia Marcela  
dc.contributor.author
Nill, Benjamin  
dc.contributor.author
Vergne, Michèle  
dc.date.available
2017-07-07T19:50:38Z  
dc.date.issued
2012-03  
dc.identifier.citation
Dickenstein, Alicia Marcela; Nill, Benjamin; Vergne, Michèle; A relation between number of integral points, volumes of faces and degree of the discriminant of smooth lattice polytopes; Elsevier Masson; Comptes Rendus Mathematique; 350; 5-6; 3-2012; 229-233  
dc.identifier.issn
1631-073X  
dc.identifier.uri
http://hdl.handle.net/11336/19891  
dc.description.abstract
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 [dim P / 2].  
dc.format
application/pdf  
dc.language.iso
eng  
dc.publisher
Elsevier Masson  
dc.rights
info:eu-repo/semantics/openAccess  
dc.rights.uri
https://creativecommons.org/licenses/by-nc-nd/2.5/ar/  
dc.subject
Lattice Polytope  
dc.subject
Discriminant  
dc.subject
Volume  
dc.subject
Interior Points  
dc.subject.classification
Matemática Pura  
dc.subject.classification
Matemáticas  
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS  
dc.title
A relation between number of integral points, volumes of faces and degree of the discriminant of smooth lattice polytopes  
dc.title
Une relation entre nombre de points entiers, volumes des faces et degré du discriminant des polytopes entiers non singuliers  
dc.type
info:eu-repo/semantics/article  
dc.type
info:ar-repo/semantics/artículo  
dc.type
info:eu-repo/semantics/publishedVersion  
dc.date.updated
2017-07-07T14:43:23Z  
dc.journal.volume
350  
dc.journal.number
5-6  
dc.journal.pagination
229-233  
dc.journal.pais
Francia  
dc.journal.ciudad
Paris  
dc.description.fil
Fil: Dickenstein, Alicia Marcela. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Investigaciones Matemáticas "Luis A. Santaló". Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Investigaciones Matemáticas "Luis A. Santaló"; Argentina  
dc.description.fil
Fil: Nill, Benjamin. Case Western Reserve University; Estados Unidos  
dc.description.fil
Fil: Vergne, Michèle. Institut de mathématiques de Jussieu; Francia  
dc.journal.title
Comptes Rendus Mathematique  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1016/j.crma.2012.02.001  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/http://www.sciencedirect.com/science/article/pii/S1631073X12000398