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. (2024). 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
2024

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.
2024
Fatighenti, E. (2024). Examples of Non-Rigid, Modular Vector Bundles on Hyperkähler Manifolds. INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2024(10), 8782-8793 [10.1093/imrn/rnae021].
Fatighenti, Enrico
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11585/961559
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