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arXiv · 1803.03250

Twisted Fourier-Mukai partners of Enriques surfaces

Nicolas Addington·Andrew Wray
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Abstract

Bridgeland and Maciocia showed that a complex Enriques surface X has no Fourier-Mukai partners apart from itself: that is, if D^b(X) = D^b(Y) then X = Y. We extend this to twisted Fourier-Mukai partners: if alpha is the non-trivial element of Br(X) = Z/2 and D^b(X,alpha) = D^b(Y,beta), then X = Y and beta is non-trivial. Our main tools are twisted topological K-theory and twisted Mukai lattices.

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Nicolas Addington, Andrew Wray. 2018-03-08. Twisted Fourier-Mukai partners of Enriques surfaces. https://doi.org/10.1007/s00209-020-02555-z

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