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

arXiv eprints
 Pub Date:
 December 2012
 arXiv:
 arXiv:1212.1722
 Bibcode:
 2012arXiv1212.1722C
 Keywords:

 Mathematics  Algebraic Geometry;
 Mathematics  Classical Analysis and ODEs;
 Mathematics  Combinatorics;
 14J33 (Primary) 14J45;
 14D07 (Secondary)
 EPrint:
 16 pages, 1 figure. To appear in the Proceedings of the 6th European Congress of Mathematics