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math.AG2003★ 3 cited
Derived category of V_{12} Fano threefolds
Alexander Kuznetsov
A V_{12} Fano threefold is a smooth Fano threefold X of index 1 with Pic X = Z and (-K_X)^3=12. We show that the bounded derived category of coherent sheaves on any V_{12} threefol…
math.AG2003★ 36 cited
Derived categories of cubic and V14 threefolds
Alexander Kuznetsov
We show that the projectivization of the exceptional rank 2 vector bundle on an arbitrary smooth V14 Fano threefold after a certain natural flop turns into the projectivization of…