2016/09/16 by Alicia Dickenstein, Dickenstein, Alicia, Ragni Piene +1
Computer Science · Mathematics · #14M25 #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Polynomial and algebraic computation #Tensor decomposition and applications #math.AG #msc:14M25
paper · pdf · doi:10.48550/arxiv.1609.05189
21 pages
arxiv created 2016/09/16 · openalex publication_date 2016/09/16 · arxiv updated 2016/09/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The notion of higher order dual varieties of a projective variety, introduced in \citeP83, 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.