Yang-Mills theory and uniformization |
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Authors: | Carlos T Simpson |
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Institution: | (1) Princeton University, 08544 Princeton, NJ, USA |
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Abstract: | We define a notion of a stable system of Hodge bundles. A stable system of Hodge bundles has a Hermitian-Yang-Mills metric and, if certain Chern classes vanish, this gives a complex variation of Hodge structure. We use these ideas to obtain a criterion for a variety to be uniformized by a bounded symmetric domain. |
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