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Systems of hodge bundles and uniformization

Webwork, one is that the system of Hodge bundles are of Calabi-Yau type and theotherisalocalTorelli-typetheorem,seesection5of[8]. 2 Systems of Hodge bundles over … WebDefine 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 …

Kähler-Einstein metrics, G-invariants and uniformization

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 … WebThe solution captures and tracks end-to-end carbon emission data through the supply chain and stores it in a secure cloud database. Optchain’s algorithms provide strong analytics … greene and heaton ltd literary agency https://sifondg.com

Higgs bundles and local systems - Numdam

Web1 are called systems of Hodge bundles (or sometimes \chains"?). Note that every system of Hodge bundles is xed under the action of C : the isomorphism ˚ t: (E; ) !(E;t ) is given by x7!tqxfor x2Ep;q. Conversely, suppose (E; ) is a Higgs bundle, xed by some t2C which is not a root of unity, and let f: (E; ) !(E;t ) be the isomorphism. Then we ... 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 ... 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. greene and hemly inc

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Systems of hodge bundles and uniformization

(PDF) Constructing variations of Hodge structure using Yang-Mills ...

WebSimpson, Systems of Hodge bundles and uniformization. Harvard thesis,1987. 7. C. ... Higgs bundles and local systems on Riemann surfaces. Lecture notes ... 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

Systems of hodge bundles and uniformization

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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://www.numdam.org/item/?id=PMIHES_1992__75__5_0

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. … Webvariation 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 ...

WebIn physics and mathematics, and especially differential geometry and gauge theory, the Yang–Mills equations are a system of partial differential equations for a connection on a … WebMar 3, 1990 · American Mathematical Society :: Homepage

Webcontext of Higgs bundles, and as an application he proved a uniformization theorem which characterizes complex projective manifolds and quasi-projective curves whose universal …

fluance speakers xl7fhttp://ydeng.perso.math.cnrs.fr/uniformization.pdf fluance towersWebARAKELOV INEQUALITIES AND UNIFORMIZATION 3 one has a strict inequality µω Y (F1,0)−µ ωY (F 0,1) greene and greene style ceiling lightWebHodge bundles. Step 2. We generalize the result in Step 1 to the context of principal bundles.Fix a Hodge group G0. Following Simpson again, we define a principal system of log Hodge bundles (P,τ)on log pairs (X,D) with the structure group K ⊂ G, where G is the complexification of G0. Based on the result in Step 1 together with some fluance xl5f speakershttp://staff.ustc.edu.cn/~msheng/publications/preprints/papers/Kahler-Einstein%20metrics,%20G-invariants%20and%20uniformization.pdf fluance walnutWebC1-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 greene and heaton literary agency ukWebA 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 … greene and greene staircase gamble house