Systems of hodge bundles and uniformization
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. http://staff.ustc.edu.cn/~msheng/publications/preprints/papers/Kahler-Einstein%20metrics,%20G-invariants%20and%20uniformization.pdf
Systems of hodge bundles and uniformization
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WebStability of Hodge bundles 22 4. Families of Abelian varieties 33 5. The structure of U˜ in Theorem 5 36 ... type inequalities only for the Hodge bundles of irreducible local sub-systems. Theorem 1. ... apply Yau’s uniformization theorem [Y93], recalled in 1.4. It implies. 4 ECKARTVIEHWEGANDKANGZUO WebA 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 …
Webcontext of Higgs bundles, and as an application he proved a uniformization theorem which characterizes complex projective manifolds and quasi-projective curves whose universal … WebC1-bundle of Ewith a new holomorphic structure, ris an integrable connection r: H!H 1 X; Filis a Hodge ltration, that is, a nite decreasing ltration satisfying Gri ths transversality and is a horizontal bilinear form satisfying the Hodge-Riemann bilinear relation. By taking the grading of the Hodge ltration, one obtains
WebThe Riemann curvature tensor is also the commutator of the covariant derivative of an arbitrary covector with itself:;; =. This formula is often called the Ricci identity. This is the classical method used by Ricci and Levi-Civita to obtain an expression for the Riemann curvature tensor. This identity can be generalized to get the commutators for two … WebMar 3, 1990 · American Mathematical Society :: Homepage
WebDec 13, 2024 · Hodge theory, the so-called sys tem of Hodge bundles (E, θ), to b e the associated graded Higgs bun- dle of a polarized variation of Hodge structures. These theories are of fundamental i ...
WebMar 30, 2024 · The adoption of this approach has grown significantly over the last decade. In 2024 over 1,000 hospitals and over 700 physician groups participated in the voluntary … is sgot ast or altWebvariation of Hodge structure of rank 2, arising from uniformization (see e.g. [Sim88, bottom of p. 870]). As local systems which arise from geometry satisfy the hypotheses of Theorem 1.2.4, we have: Corollary 1.2.6. Let (C, x 1, , xn) be an analytically very general hyperbolic n-pointed curve of genus g. If f : X !C nfx 1, , xngis a smooth ... iss governmentWebARAKELOV INEQUALITIES AND UNIFORMIZATION 3 one has a strict inequality µω Y (F1,0)−µ ωY (F 0,1) idworx rohler bltWebDefine a system of Hodge bundles E on X to be a collection of holomorphic vector bundles (p+q= w, the weight of E), together with holomorphic maps x: E p, q ~ E p - 1, q + 1 f~l x … idw ph 9.860.4Weba system of Hodge bundles is a direct sum of metrics on the Ep q, and any such metric gives rise to a connection which preserves the associated indefinite form. We try to solve the … idworx rohler blt multispecWebA 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. View on Springer Save to Library Create Alert Cite 6 Citations Citation Type More Filters idw ph 9.860.4 07.2021WebYang-Mills Theory and Uniformization CARLOS T. SIMPSON Princeton University, Princeton, NJ 08544, U.S.A. (Received: 9 September 1987) Abstract. We define a notion of a stable system of Hodge bundles. ... category of systems of Hodge bundles: if V is a variation then the components vP'q---~A O" I(vP'q) of the connection give holomorphic ... idworx titanium