English

Derived equivalent conjugate K3 surfaces

Algebraic Geometry 2015-03-16 v3

Abstract

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

Keywords

Cite

@article{arxiv.0905.4333,
  title  = {Derived equivalent conjugate K3 surfaces},
  author = {Pawel Sosna},
  journal= {arXiv preprint arXiv:0905.4333},
  year   = {2015}
}

Comments

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

R2 v1 2026-06-21T13:06:24.490Z