| Résume | The derived category of coherent sheaves on a Fano variety determines it uniquely by a theorem of Bondal and Orlov. If X is a Fano hypersurface in a projective space, its derived category has an interesting subcategory called "Kuznetsov component" or "residual category". Huybrechts and Rennemo showed that this subcategory, together with a certain autoequivalence, determines the hypersurface if the degree divides dim(X)+2. I will explain a generalization of that theorem that gets rid of the divisibility condition and works for any degree.
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