A smooth but non-symplectic moduli of sheaves on a hyperkähler variety

2024/09/13 by Krug, Andreas, Reede, Fabian, Zhang, Ziyu · 1 citation
#Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.2409.08991

Abstract

For an abelian surface A, we consider stable vector bundles on a generalized Kummer variety K_n(A) with n>1. We prove that the connected component of the moduli space which contains the tautological bundles associated to line bundles of degree 0 is isomorphic to the blowup of the dual abelian surface in one point. We believe that this is the first explicit example of a component which is smooth with a non-trivial canonical bundle.

Cited by

• Moduli spaces of generalised tautological bundles on Hilbert schemes

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