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Proof of a conjecture of Batyrev and Nill
- American Journal of Mathematics
- Johns Hopkins University Press
- Volume 139, Number 6, December 2017
- pp. 1493-1520
- 10.1353/ajm.2017.0038
- Article
- Additional Information
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.