Systems of hodge bundles and uniformization
WebAn application in the compact case gives necessary and sufficient conditions for a variety to be uniformized by any particular bounded symmetric domain. The first such construction was the theorem of Narasimhan and Seshadri relating holomorphic vector bundles and unitary connections on a curve. Web[46] C. T. Simpson, Systems of Hodge bundles and uniformization, doctoral dissertation, Harvard University (1987). [47] C. T. Simpson, Constructing variations of Hodge structure …
Systems of hodge bundles and uniformization
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WebSimpson Variations of Hodge using Yang-Mills - math.mit.edu Web[46] C. T. SIMPSON, Systems of Hodge bundles and uniformization, doctoral dissertation, Harvard University (1987). [47] C. T. SIMPSON, Constructing variations of Hodge structure using Yang-Mills theory and applications to uniformization, Journal of the A.M.S., 1 (1988), 867-918. Zbl0669.58008 MR90e:58026
http://staff.ustc.edu.cn/~msheng/publications/papers/Uniformization%20of%20p-adic%20curves%20via%20Higgs-de%20Rham%20Flows.pdf Webvariation of Hodge structure, then (E,r) has unitary monodromy. 1.3. Main results on isomonodromic deformations. As remarked in x1.1, the Hodge-theoretic results of x1.2 …
http://staff.ustc.edu.cn/~msheng/publications/preprints/papers/Kahler-Einstein%20metrics,%20G-invariants%20and%20uniformization.pdf WebDec 5, 2024 · Systems of Hodge bundles and uniformization, Ph.D. Thesis, Harvard Univ., Cambridge, MA, 1987; J. Amer. Math. Soc. 1 (1988), no. 4, 867–918; MR90e:58026, doi. …
WebWe 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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