Kuznetsov's Fano threefold conjecture via Hochschild-Serre algebra

2023/11/11 by Xun Lin, Lin, Xun, Shizhuo Zhang +1
Mathematics · #14D20 #14D23 #14F05 #14J45 #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology

paper · pdf · doi:10.48550/arxiv.2311.06450

openalex publication_date 2023/11/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Let Y be a smooth quartic double solid regarded as a degree 4 hypersurface of the weighted projective space ℙ(1,1,1,1,2). We study the multiplication of Hochschild-Serre algebra of its Kuznetsov component Ku(Y), via matrix factorization. As an application, we give a new disproof of Kuznetsov's Fano threefold conjecture.

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