A simple combinatorial criterion for projective toric manifolds with dual defect

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-the...

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Autor principal: Dickenstein, Alicia Marcela
Publicado: 2010
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10732780_v17_n3_p435_Dickenstein
http://hdl.handle.net/20.500.12110/paper_10732780_v17_n3_p435_Dickenstein
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
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spelling paper:paper_10732780_v17_n3_p435_Dickenstein2023-06-08T16:04:55Z A simple combinatorial criterion for projective toric manifolds with dual defect Dickenstein, Alicia Marcela 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 Beltrametti- Sommese (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. © International Press 2010. Fil:Dickenstein, A. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 2010 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10732780_v17_n3_p435_Dickenstein http://hdl.handle.net/20.500.12110/paper_10732780_v17_n3_p435_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 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 Beltrametti- Sommese (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. © International Press 2010.
author Dickenstein, Alicia Marcela
spellingShingle Dickenstein, Alicia Marcela
A simple combinatorial criterion for projective toric manifolds with dual defect
author_facet Dickenstein, Alicia Marcela
author_sort Dickenstein, Alicia Marcela
title A simple combinatorial criterion for projective toric manifolds with dual defect
title_short A simple combinatorial criterion for projective toric manifolds with dual defect
title_full A simple combinatorial criterion for projective toric manifolds with dual defect
title_fullStr A simple combinatorial criterion for projective toric manifolds with dual defect
title_full_unstemmed A simple combinatorial criterion for projective toric manifolds with dual defect
title_sort simple combinatorial criterion for projective toric manifolds with dual defect
publishDate 2010
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10732780_v17_n3_p435_Dickenstein
http://hdl.handle.net/20.500.12110/paper_10732780_v17_n3_p435_Dickenstein
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AT dickensteinaliciamarcela simplecombinatorialcriterionforprojectivetoricmanifoldswithdualdefect
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