Higher order duality and toric embeddings
Algebraic Geometry
2014-10-29 v3 Combinatorics
Abstract
The notion of higher order dual varieties of a projective variety is a natural generalization of the classical notion of projective duality, introduced by Piene in 1983. In this paper we study higher order dual varieties of projective toric embeddings. We compute the degree of the second dual variety of a smooth toric threefold in geometric and combinatorial terms, and we classify smooth 2-jet spanned projective embeddings of smooth threefolds whose second dual variety has dimension less than expected. We also describe the tropicalization of the k-th dual variety of an equivariantly embedded (not necessarily normal) toric variety.
Cite
@article{arxiv.1111.4641,
title = {Higher order duality and toric embeddings},
author = {Alicia Dickenstein and Sandra di Rocco and Ragni Piene},
journal= {arXiv preprint arXiv:1111.4641},
year = {2014}
}
Comments
Final version to appear in Annales de l'Institut Fourier. Deleted an unnecessary wrong statement