Proof of a Conjecture of Batyrev and Nill
classification
🧮 math.AG
keywords
batyrevconjecturenillproofanswerassociatedbatyrev-borisovcategories
read the original 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.
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