Kuznetsov's Fano threefold conjecture via Hochschild-Serre algebra
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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