The Derived Category of the Intersection of Four Quadrics
نویسنده
چکیده
The derived category of a general complete intersection of four quadrics in P has a semi-orthogonal decomposition 〈O(−2n + 9), . . . ,O(−1),O,D〉, where D is the derived category of twisted sheaves on a certain non-algebraic complex 3-fold coming from a moduli problem. In particular, when n = 4 we obtain a (twisted) derived equivalence of Calabi-Yau 3-folds predicted by Gross. This differs from Kuznetsov’s result [17] in that our construction is geometric and avoids non-commutative varieties.
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