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math.AG2023
Kuznetsov's Fano threefold conjecture via Hochschild-Serre algebra
Xun Lin, Shizhuo Zhang
Let be a smooth quartic double solid regarded as a degree 4 hypersurface of the weighted projective space . We study the multiplication of Hochschild-Ser…
math.AG2023
Serre algebra, matrix factorization and categorical Torelli theorem for hypersurfaces
Xun Lin, Shizhuo Zhang
Let be a smooth Fano variety. We attach a bi-graded associative algebra $\mathrm{HS}(\mathcal{K}u(X))=\bigoplus_{i,j\in \mathbb{Z}} \mathrm{Hom}(\mathrm{Id},S_{\mathcal{K}u(X)}…