Holonomy groups of stable vector bundles

Balaji, V. ; Kollar, Janos (2008) Holonomy groups of stable vector bundles Publications of the Research Institute for Mathematical Sciences, 44 . pp. 183-211. ISSN 0034-5318

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We define the notion of holonomy group for a stable vector bundle F on a variety in terms of the Narasimhan-Seshadri unitary representation of its restriction to curves. Next we relate the holonomy group to the minimal structure group and to the decomposition of tensor powers of F. Finally we illustrate the principle that either the holonomy is large or there is a clear geometric reason why it should be small.

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Deposited On:25 Sep 2010 11:23
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