A Simple Combinatorial Criterion for Projective Toric Manifolds with Dual Defect - Mathematics > CombinatoricsReportar como inadecuado




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Abstract: We show that any smooth lattice polytope P with codegree greater or equalthan dimP+3-2 or equivalently, with degree smaller than dimP-2, definesa dual defective projective toric manifold. This implies that P is Q-normal inthe terminology of a recent paper by Di Rocco, Piene and the first author andanswers partially an adjunction-theoretic conjecture by Beltrametti andSommese. Also, it follows that smooth lattice polytopes with this property areprecisely strict Cayley polytopes, which completes the answer of a question ofBatyrev and the second author in the nonsingular case.



Autor: Alicia Dickenstein, Benjamin Nill

Fuente: https://arxiv.org/







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