English

Mirror Symmetry and Fano Manifolds

Algebraic Geometry 2021-06-02 v1 Classical Analysis and ODEs Combinatorics

Abstract

We consider mirror symmetry for Fano manifolds, and describe how one can recover the classification of 3-dimensional Fano manifolds from the study of their mirrors. We sketch a program to classify 4-dimensional Fano manifolds using these ideas.

Keywords

Cite

@article{arxiv.1212.1722,
  title  = {Mirror Symmetry and Fano Manifolds},
  author = {Tom Coates and Alessio Corti and Sergey Galkin and Vasily Golyshev and Alexander Kasprzyk},
  journal= {arXiv preprint arXiv:1212.1722},
  year   = {2021}
}

Comments

16 pages, 1 figure. To appear in the Proceedings of the 6th European Congress of Mathematics