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dc.contributor.author
Dickenstein, Alicia Marcela
dc.contributor.author
Nill, Benjamin
dc.date.available
2017-04-07T20:42:05Z
dc.date.issued
2010-03
dc.identifier.citation
Dickenstein, Alicia Marcela; Nill, Benjamin; A Simple Combinatorial Criterion for Projective Toric Manifolds with Dual Defect; International Press Boston; Mathematical Research Letters; 17; 3; 3-2010; 435-448
dc.identifier.issn
1073-2780
dc.identifier.uri
http://hdl.handle.net/11336/15031
dc.description.abstract
We show that any smooth lattice polytope P with codegree greater or equal than (dim(P) + 3)/2 (or equivalently, with degree smaller than dim(P)/2), defines a dual defective projective toric manifold. This implies that P is Q-normal (in the terminology of [11]) and answers partially an adjunction-theoretic conjecture by BeltramettiSommese (see [5],[4],[11]). Also, it follows from [24] that smooth lattice polytopes with this property are precisely strict Cayley polytopes, which completes the answer in [11] of a question in [1] for smooth polytopes.
dc.format
application/pdf
dc.language.iso
eng
dc.publisher
International Press Boston
dc.rights
info:eu-repo/semantics/openAccess
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.subject
Toric Manifold
dc.subject
Lattice Polytope
dc.subject
Dual Defect
dc.subject
Hypergeometric Equalities
dc.subject.classification
Matemática Pura
dc.subject.classification
Matemáticas
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS
dc.title
A Simple Combinatorial Criterion for Projective Toric Manifolds with Dual Defect
dc.type
info:eu-repo/semantics/article
dc.type
info:ar-repo/semantics/artículo
dc.type
info:eu-repo/semantics/publishedVersion
dc.date.updated
2017-04-06T16:51:57Z
dc.journal.volume
17
dc.journal.number
3
dc.journal.pagination
435-448
dc.journal.pais
Estados Unidos
dc.description.fil
Fil: Dickenstein, Alicia Marcela. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Matemática; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Investigaciones Matemáticas ; Argentina
dc.description.fil
Fil: Nill, Benjamin. University of Georgia; Estados Unidos
dc.journal.title
Mathematical Research Letters
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/http://intlpress.com/site/pub/files/_fulltext/journals/mrl/2010/0017/0003/MRL-2010-0017-0003-a005.pdf
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