We exhibit examples of slope-stable and modular vector bundles on a hyperkaehler manifold of K3-2- type, which move in a 20-dimensional family and study their algebraic properties. These are obtained by performing standard linear algebra constructions on the examples studied by O’Grady of (rigid) modular bundles on the Fano varieties of lines of a general cubic four-fold and the Debarre–Voisin hyperkähler manifold.
Fatighenti, E. (In stampa/Attività in corso). Examples of Non-Rigid, Modular Vector Bundles on Hyperkähler Manifolds. INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2024(10), 8782-8793 [10.1093/imrn/rnae021].
Examples of Non-Rigid, Modular Vector Bundles on Hyperkähler Manifolds
Fatighenti, Enrico
Primo
In corso di stampa
Abstract
We exhibit examples of slope-stable and modular vector bundles on a hyperkaehler manifold of K3-2- type, which move in a 20-dimensional family and study their algebraic properties. These are obtained by performing standard linear algebra constructions on the examples studied by O’Grady of (rigid) modular bundles on the Fano varieties of lines of a general cubic four-fold and the Debarre–Voisin hyperkähler manifold.| File | Dimensione | Formato | |
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