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
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