Automorphisms of K3 surfaces

Mathematics – Algebraic Geometry

Scientific paper

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submitted to Proc. Conf. for 10th anniversary of Math. Inst. East China Normal U. Contemporary Math. Amer. Math. Soc

Scientific paper

In this note, we report some progress we made recently on the automorphisms
groups of K3 surfaces. A short and straightforward proof of the impossibility
of Z/(60) acting purely non-symplectically on a K3 surface, is also given, by
using Lefschetz fixed point formula for vector bundles.

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