Derived Invariance of the Number of Holomorphic 1-forms and Vector Fields
نویسندگان
چکیده
Given a smooth projective varietyX , we denote byD(X) the bounded derived category of coherent sheaves D(Coh(X)). All varieties we consider below are over the complex numbers. A result of Rouquier, [Ro] Théoréme 4.18, asserts that if X and Y are smooth projective varieties with D(X) ' D(Y ) (as linear triangulated categories), then there is an isomorphism of algebraic groups Aut(X)× Pic(X) ' Aut(Y )× Pic(Y ).
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