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.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 1493-1520 |
| Number of pages | 28 |
| Journal | American Journal of Mathematics |
| Volume | 139 |
| Issue number | 6 |
| DOIs | |
| State | Published - Dec 2017 |
| Externally published | Yes |
Bibliographical note
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