INVESTIGADORES
DICKENSTEIN Alicia Marcela
artículos
Título:
Higher order duality and toric embeddings
Autor/es:
A. DICKENSTEIN, S. DI ROCCO, R. PIENE
Revista:
ANNALES DE L INSTITUT FOURIER
Editorial:
ANNALES INST FOURIER
Referencias:
Lugar: Paris; Año: 2014 vol. 1 p. 375 - 400
ISSN:
0373-0956
Resumen:
The notion of higher order dual varieties of a projective variety, introduced by Piene in 1983, is a natural generalization of the classical notion of projective duality. In this paper we study higher order dual varieties of projective toric embeddings. We express the degree of the second dual variety of a 2-jet spanned embedding of a smooth toric threefold in geometric and combinatorial terms, and we classify those whose second dual variety has dimension less than expected. We also describe the tropicalization of all higher order dual varieties of an equivariantly embedded (not necessarily normal) toric variety.