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Examples of Non-Rigid, Modular Vector Bundles on Hyperkähler Manifolds

International mathematics research notices, 2023
We exhibit examples of slope-stable and modular vector bundles on a hyperkähler manifold of K3$^{[2]}$-type, which move in a 20-dimensional family and study their algebraic properties.
Enrico Fatighenti
semanticscholar   +1 more source

On numerically trivial automorphisms of compact hyperkähler manifolds of dimension 4

Mathematical Research Letters, 2023
We prove that the automorphism group of a compact hyperk\"ahler manifold of dimension 4 acts faithfully on the cohomology ring.
Chen Jiang, Wenfei Liu
semanticscholar   +1 more source

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