Higher order duality and toric embeddings

  title={Higher order duality and toric embeddings},
  author={A. Dickenstein and S. D. Rocco and R. Piene},
  journal={arXiv: Algebraic Geometry},
  • A. Dickenstein, S. D. Rocco, R. Piene
  • Published 2011
  • Mathematics
  • arXiv: Algebraic Geometry
  • 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… CONTINUE READING
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