A derived equivalence of the Libgober-Teitelbaum and the Batyrev-Borisov mirror constructions

Aimeric Malter

doi:10.1093/imrn/rnad081

A derived equivalence of the Libgober-Teitelbaum and the Batyrev-Borisov mirror constructions

Aimeric Malter^*

^*Corresponding author for this work

Mathematics

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Abstract

In this paper, we study a particular mirror construction to the complete intersection of two cubics in ℙ⁵⁠, due to Libgober and Teitelbaum. Using variations of geometric invariant theory and methods of Favero and Kelly, we prove a derived equivalence of this mirror to the Batyrev–Borisov mirror of the complete intersection.

Original language	English
Article number	rnad081
Pages (from-to)	1-39
Number of pages	39
Journal	International Mathematics Research Notices
Volume	2023
Early online date	26 Apr 2023
DOIs	https://doi.org/10.1093/imrn/rnad081
Publication status	E-pub ahead of print - 26 Apr 2023

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AB - In this paper, we study a particular mirror construction to the complete intersection of two cubics in ℙ5⁠, due to Libgober and Teitelbaum. Using variations of geometric invariant theory and methods of Favero and Kelly, we prove a derived equivalence of this mirror to the Batyrev–Borisov mirror of the complete intersection.

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A derived equivalence of the Libgober-Teitelbaum and the Batyrev-Borisov mirror constructions

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