Derived equivalent conjugate K3 surfaces

Details Derived equivalent conjugate K3 surfaces Derived equivalent conjugate K3 surfaces

2009-05-27

arxiv.org/abs/0905.4333v3

Mathematics

Algebraic Geometry

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

Scientific paper

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 $X$.

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