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Derived equivalent conjugate K3 surfaces

Authors :
Sosna, Pawel
Source :
Bull. London Math. Soc. 42 (2010), 1065-1072
Publication Year :
2009

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 $X$.<br />Comment: 12 pages; v2: minor changes, mostly correction of typos; v3: added application to Hilbert schemes

Subjects

Subjects :
Mathematics - Algebraic Geometry

Details

Database :
arXiv
Journal :
Bull. London Math. Soc. 42 (2010), 1065-1072
Publication Type :
Report
Accession number :
edsarx.0905.4333
Document Type :
Working Paper
Full Text :
https://doi.org/10.1112/blms/bdq065