English

Homological Mirror Symmetry for Toric del Pezzo Surfaces

Algebraic Geometry 2007-05-23 v1 Symplectic Geometry

Abstract

We prove the homological mirror conjecture for toric del Pezzo surfaces. In this case, the mirror object is a regular function on an algebraic torus. We show that the derived Fukaya category of this mirror coincides with the derived category of coherent sheaves on the original manifold.

Keywords

Cite

@article{arxiv.math/0411654,
  title  = {Homological Mirror Symmetry for Toric del Pezzo Surfaces},
  author = {Kazushi Ueda},
  journal= {arXiv preprint arXiv:math/0411654},
  year   = {2007}
}

Comments

19 pages, 6 figures