On Fourier-Mukai type autoequivalences of Kuznetsov components of cubic threefolds

2023/04/25 by Ziqi Liu, Liu, Ziqi
Mathematics · #14D20 (Secondary) #14F05 (Primary) 14J30 #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Mathematical Dynamics and Fractals #advanced mathematical theories

paper · pdf · doi:10.48550/arxiv.2304.12669

openalex publication_date 2023/04/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We determine the group of all Fourier-Mukai type autoequivalences of Kuznetsov components of smooth complex cubic threefolds, and provide yet another proof for the Fourier-Mukai version of categorical Torelli theorem for smooth complex cubic threefolds.

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