Proof of a Conjecture of Batyrev and Nill
Algebraic Geometry
2016-10-18 v5
Abstract
We prove equivalences of derived categories for the various mirrors in the Batyrev-Borisov construction. In particular, we obtain a positive answer to a conjecture of Batyrev and Nill. The proof involves passing to an associated category of singularities and toric variation of geometric invariant theory quotients.
Keywords
Cite
@article{arxiv.1412.1354,
title = {Proof of a Conjecture of Batyrev and Nill},
author = {David Favero and Tyler L. Kelly},
journal= {arXiv preprint arXiv:1412.1354},
year = {2016}
}
Comments
23 pages. To appear in American Journal of Mathematics. Minor corrections