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...
Guardado en:
Autores principales: | , |
---|---|
Formato: | JOUR |
Acceso en línea: | http://hdl.handle.net/20.500.12110/paper_10732780_v17_n3_p435_Dickenstein |
Aporte de: |
id |
todo:paper_10732780_v17_n3_p435_Dickenstein |
---|---|
record_format |
dspace |
spelling |
todo:paper_10732780_v17_n3_p435_Dickenstein2023-10-03T16:02:52Z A simple combinatorial criterion for projective toric manifolds with dual defect Dickenstein, A. Nill, B. 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. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar 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. |
format |
JOUR |
author |
Dickenstein, A. Nill, B. |
spellingShingle |
Dickenstein, A. Nill, B. A simple combinatorial criterion for projective toric manifolds with dual defect |
author_facet |
Dickenstein, A. Nill, B. |
author_sort |
Dickenstein, A. |
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 |
url |
http://hdl.handle.net/20.500.12110/paper_10732780_v17_n3_p435_Dickenstein |
work_keys_str_mv |
AT dickensteina asimplecombinatorialcriterionforprojectivetoricmanifoldswithdualdefect AT nillb asimplecombinatorialcriterionforprojectivetoricmanifoldswithdualdefect AT dickensteina simplecombinatorialcriterionforprojectivetoricmanifoldswithdualdefect AT nillb simplecombinatorialcriterionforprojectivetoricmanifoldswithdualdefect |
_version_ |
1807315885394755584 |