Nilpotent Higgs Bundles and the Hodge Metric on the Calabi–Yau Moduli
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Abstract We study an algebraic inequality for nilpotent matrices and show some interesting geometric applications: (i) obtaining topological information for nilpotent polystable Higgs bundles over a compact Riemann surface; (ii) obtaining a sharp upper bound of the holomorphic sectional curvatures of the period domain and the Hodge metric on the Calabi–Yau moduli.
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1978 ◽
Vol 32
(2)
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pp. 235-254
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2009 ◽
Vol 05
(05)
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pp. 845-857
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2018 ◽
pp. 653-680
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1967 ◽
Vol 19
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pp. 268-272
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