The tangent bundle of a generalized Kummer fourfold is obstructed
Alessio Bottini
math.AGarXiv:2608.24860
Abstract
For a hyper-Kähler fourfold X of generalized Kummer type, we construct an infinitesimal deformation of the tangent bundle TX with non-zero Yoneda square. This is the first example of a stable hyperholomorphic bundle with obstructed deformations.
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