Artículos de revistas
Higher order selfdual toric varieties
Dickenstein, Alicia Marcela; Piene, Ragni; Higher order selfdual toric varieties; Springer Heidelberg; Annali Di Matematica Pura Ed Applicata; 196; 5; 10-2017; 1759-1777
Dickenstein, Alicia Marcela
The notion of higher order dual varieties of a projective variety, introduced in Piene [Singularities, part 2, (Arcata, Calif., 1981), Proceedings of Symposia in Pure Mathematics, American Mathematical Society, Providence, 1983], is a natural generalization of the classical notion of projective duality. In this paper, we present geometric and combinatorial characterizations of those equivariant projective toric embeddings that satisfy higher order selfduality. We also give several examples and general constructions. In particular, we highlight the relation with Cayley–Bacharach questions and with Cayley configurations.