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arXiv · 2311.06450

Kuznetsov's Fano threefold conjecture via Hochschild-Serre algebra

Xun Lin·Shizhuo Zhang
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Abstract

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

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Xun Lin, Shizhuo Zhang. 2023-11-11. Kuznetsov's Fano threefold conjecture via Hochschild-Serre algebra. https://arxiv.org/abs/2311.06450

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