Proof of a conjecture of Batyrev and Nill

David Favero; Tyler Kelly

doi:10.1353/ajm.2017.0038

Proof of a conjecture of Batyrev and Nill

David Favero, Tyler Kelly

Mathematics

Research output: Contribution to journal › Article › peer-review

8 Citations (Scopus)

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
Pages (from-to)	1493-1520
Number of pages	28
Journal	American Journal of Mathematics
Volume	139
Issue number	6
Early online date	17 Nov 2017
DOIs	https://doi.org/10.1353/ajm.2017.0038
Publication status	Published - Dec 2017

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http://muse.jhu.edu/article/677446/summaryLicence: None: All rights reserved

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title = "Proof of a conjecture of Batyrev and Nill",

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.",

author = "David Favero and Tyler Kelly",

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AB - 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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JO - American Journal of Mathematics

JF - American Journal of Mathematics

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Proof of a conjecture of Batyrev and Nill

Abstract

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