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.

Examples of Non-Rigid, Modular Vector Bundles on Hyperkähler Manifolds / Fatighenti, Enrico. - In: INTERNATIONAL MATHEMATICS RESEARCH NOTICES. - ISSN 1073-7928. - ELETTRONICO. - //:(In stampa/Attività in corso), pp. 1-12. [10.1093/imrn/rnae021]

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

Fatighenti, Enrico
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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.
In corso di stampa
Examples of Non-Rigid, Modular Vector Bundles on Hyperkähler Manifolds / Fatighenti, Enrico. - In: INTERNATIONAL MATHEMATICS RESEARCH NOTICES. - ISSN 1073-7928. - ELETTRONICO. - //:(In stampa/Attività in corso), pp. 1-12. [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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