Proof of a conjecture of Batyrev and Nill

David Favero, Tyler Kelly

Research output: Contribution to journalArticlepeer-review

8 Citations (Scopus)


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.
Original languageEnglish
Pages (from-to)1493-1520
Number of pages28
JournalAmerican Journal of Mathematics
Issue number6
Early online date17 Nov 2017
Publication statusPublished - Dec 2017


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