Giovanni Mongardi
Published 2014-05-13Version 1
The present paper is devoted to the classification of symplectic automorphisms of some hyperk\"{a}hler manifolds. The results contained here are an explicit classification of prime order automorphisms on manifolds of $K3^{[n]}$ type and a proof that all finite groups of symplectic automorphisms of such manifolds are contained in Conway's group $Co_1$.
Comments: contains part of PhD thesis 1303.4670
Finite groups of symplectic automorphisms of hyperkähler manifolds of type $K3^{[2]}$
Prime order automorphisms of abelian surfaces: a lattice-theoretic point of view
On natural deformations of symplectic automorphisms of manifolds of K3^[n] type
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