Derived equivalent conjugate K3 surfaces

Abstract

We show that there exist a complex projective K3 surface $X$ and an automorphism of the complex numbers $\sigma$ such that the conjugate K3 surface $X^{\sigma }$ is a non-isomorphic Fourier-Mukai partner of $X$.

12 pages; v2: minor changes, mostly correction of typos; v3: added application to Hilbert schemes

References in corpus (1)

• An Isomorphism Between Moduli Spaces of Abelian Varieties