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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 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.

Registro:

Documento: Artículo
Título:A simple combinatorial criterion for projective toric manifolds with dual defect
Autor:Dickenstein, A.; Nill, B.
Filiación:Departamento de Matemática, FCEN, Universidad de Buenos Aires, C1428EGA Buenos Aires, Argentina
Department of Mathematics, University of Georgia, Athens, GA 30602, United States
Año:2010
Volumen:17
Número:3
Página de inicio:435
Página de fin:448
DOI: http://dx.doi.org/10.4310/MRL.2010.v17.n3.a5
Título revista:Mathematical Research Letters
Título revista abreviado:Math. Res. Lett.
ISSN:10732780
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10732780_v17_n3_p435_Dickenstein

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Citas:

---------- APA ----------
Dickenstein, A. & Nill, B. (2010) . A simple combinatorial criterion for projective toric manifolds with dual defect. Mathematical Research Letters, 17(3), 435-448.
http://dx.doi.org/10.4310/MRL.2010.v17.n3.a5
---------- CHICAGO ----------
Dickenstein, A., Nill, B. "A simple combinatorial criterion for projective toric manifolds with dual defect" . Mathematical Research Letters 17, no. 3 (2010) : 435-448.
http://dx.doi.org/10.4310/MRL.2010.v17.n3.a5
---------- MLA ----------
Dickenstein, A., Nill, B. "A simple combinatorial criterion for projective toric manifolds with dual defect" . Mathematical Research Letters, vol. 17, no. 3, 2010, pp. 435-448.
http://dx.doi.org/10.4310/MRL.2010.v17.n3.a5
---------- VANCOUVER ----------
Dickenstein, A., Nill, B. A simple combinatorial criterion for projective toric manifolds with dual defect. Math. Res. Lett. 2010;17(3):435-448.
http://dx.doi.org/10.4310/MRL.2010.v17.n3.a5