English

A combinatorial description of dual defects of toric varieties

Algebraic Geometry 2019-12-12 v2 Combinatorics

Abstract

From a finite set in a lattice, we can define a toric variety embedded in a projective space. In this paper, we give a combinatorial description of the dual defect of the toric variety using the structure of the finite set as a Cayley sum with suitable conditions. We also interpret the description geometrically.

Keywords

Cite

@article{arxiv.1605.05801,
  title  = {A combinatorial description of dual defects of toric varieties},
  author = {Katsuhisa Furukawa and Atsushi Ito},
  journal= {arXiv preprint arXiv:1605.05801},
  year   = {2019}
}

Comments

26 pages, Exposition has been improved due to referee comment