Proof of a conjecture of Batyrev and Nill

Favero, David ; Kelly, Tyler Lee (2016)


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.