PROOF OF A CONJECTURE OF BATYREV AND NILL

PROOF OF A CONJECTURE OF BATYREV AND NILL

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 th...

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Veröffentlicht in:American journal of mathematics 2017-12, Vol.139 (6), p.1493-1520
Hauptverfasser: Favero, David, KELLY, TYLER L.
Format: Artikel
Sprache:eng
Schlagworte:
Quotients
Singularity (mathematics)
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Zusammenfassung: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.
ISSN:0002-9327
1080-6377
1080-6377
DOI:10.1353/ajm.2017.0038