English

Toric mirror symmetry revisited

Symplectic Geometry 2021-08-24 v3 Algebraic Geometry

Abstract

The Cox construction presents a toric variety as a quotient of affine space by a torus. The category of coherent sheaves on the corresponding stack thus has an evident description as invariants in a quotient of the category of modules over a polynomial ring. Here we give the mirror to this description, and in particular, a clean new proof of mirror symmetry for smooth toric stacks.

Keywords

Cite

@article{arxiv.2103.05386,
  title  = {Toric mirror symmetry revisited},
  author = {Vivek Shende},
  journal= {arXiv preprint arXiv:2103.05386},
  year   = {2021}
}

Comments

8 pages

R2 v1 2026-06-23T23:54:57.989Z