Communications in Number Theory and Physics

Volume 14 (2020)

Number 3

On derived equivalence of general Clifford double mirrors

Pages: 585 – 607

DOI: https://dx.doi.org/10.4310/CNTP.2020.v14.n3.a5

Author

Zhan Li (Department of Mathematics, Southern University of Science and Technology, Shenzhen, China)

Abstract

We show that the general Clifford double mirrors constructed in [BL18] (Lev Borisov and Zhan Li “On Clifford double mirrors of toric complete intersections”, Adv. Math., 328:300–355, 2018) are derived equivalent.

Keywords

mirror symmetry, Clifford double mirrors, derived equivalence

2010 Mathematics Subject Classification

14J33, 18E30

The author is partially supported by Chenyang Xu’s grant, NSFC Grant No. 11601015, and by the Postdoctoral Grant No. 2016M591000.

Received 30 July 2018

Accepted 12 February 2020

Published 13 July 2020