English

Toric systems and mirror symmetry

Algebraic Geometry 2012-01-24 v1 Representation Theory

Abstract

Hille and Perling associate to every cyclic full strongly exceptional sequence of line bundles on a toric weak Fano surface a toric system, which defines a new toric surface. In this note we interprete this construction as an instance of mirror symmetry and extend it to a duality on the set toric weak Fano surfaces equiped with a cyclic full strongly exceptional sequence.

Keywords

Cite

@article{arxiv.1201.4855,
  title  = {Toric systems and mirror symmetry},
  author = {Raf Bocklandt},
  journal= {arXiv preprint arXiv:1201.4855},
  year   = {2012}
}
R2 v1 2026-06-21T20:08:41.342Z