Derived invariance of the numbers $h^{0,p}(X)$

Abstract

Let $X_1$ and $X_2$ be derived equivalent smooth projective varieties over the field of complex numbers. We prove that the numbers $h^{0,p}(X_1)$ and $h^{0,p}(X_2)$ are equal for any $p$.

A wrong fact on Hochschild homology was used in the proof of the main result (section 2, Theorem 2.0.4)