Is hodge bundle ample

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Web˙ nD and Hodge line bundle e!( nD) with I e: M !( nD) with image a compact, complex analytic variety; I e! e(M) is ample. Application: The boundary of ( M) is constructed using Lie … WebA Hermitian line bundle Lover Xis called ample if the following three conditions are satis ed. (a) The generic bre L Q is ample. (b) The Hermitian line bundle Lis relatively semipositive: …

Vanishing theorems for ample vector bundles SpringerLink

WebDec 4, 2007 · The aim of this article is to provide methods for constructing smooth projective complex varieties with ample cotangent bundle. We prove that the intersection of at least n /2 sufficiently ample general hypersurfaces in a complex abelian variety of dimension n has ample cotangent bundle. We also discuss analogous questions for … WebGeneralizing what was known for the Hodge line bundle, we also show that many automorphic vector bundles on the Siegel modular variety are $(\varphi,D)$-ample. View Show abstract jb outpost\\u0027s

Hodge Definition & Meaning Dictionary.com

WebDec 23, 2024 · The Hodge bundle Λ g is a vector bundle [note 1] on M g whose fiber at a point C in M g is the space of holomorphic differentials on the curve C. To define the Hodge bundle, let π: C g → M g be the universal algebraic curve of genus g and let ω g be its relative dualizing sheaf. The Hodge bundle is the pushforward of this sheaf, i.e., [3] WebThe Hodge family name was found in the USA, the UK, Canada, and Scotland between 1840 and 1920. The most Hodge families were found in USA in 1880. In 1840 there were 103 … Webthe Hodge decomposition for compact, closed K ahler manifolds, a canonical decomposition of each de Rham cohomology space with complex coe cients into Dolbeault cohomology … jbo\\u0027s durango

Teichmuller dynamics and unique ergodicity via currents and …

WebAbstract Building on Fujita-Griffiths method of computing metrics on Hodge bundles, we show that the direct image of an adjoint semi-ample line bundle by a projective submersion has a continuous metric with Griffiths semi-positive curvature. E on a complex manifold, and every positive integer k , the vector bundle S k E⊗detE In mathematics, the Hodge bundle, named after W. V. D. Hodge, appears in the study of families of curves, where it provides an invariant in the moduli theory of algebraic curves. Furthermore, it has applications to the theory of modular forms on reductive algebraic groups and string theory. jbo\\u0027s pizza \\u0026 ribs durango coWebLet H be the Hodge bundle on \bar{M_g}, and let D be the boundary. Cornalba and Harris (MR0974412) show that aH - bD is ample iff a > 11b > 0. This means, for example, that 12H - D is ample, which implies that 12H is big, and so the same is true for H. jbo\u0027s pizza \u0026 ribs durango co

"WebFeb 9, 2024 · Here $\Lambda _C$ is the moduli part of the klt-trivial fibration, also called Hodge line bundle (which is in fact a ${\mathbb {Q}}$-line bundle) in this case. We roughly talk here about the idea of the proof which will be treated more carefully later. ... Let H be a sufficiently general very ample line bundle on V such that $H-mL_V$ is ... " - Is hodge bundle ample

Is hodge bundle ample

The arithmetic Hodge index theorem for adelic line bundles

Web9. For the purposes of this question, let the Hodge bundle λ be the bundle on a fibration of abelian varieties X → B with fiber over b ∈ B the space of 1-forms on X b, or the pullback to B along the zero section of the sheaf of relative differentials. The most interesting examples are when B is M g or A g, and the fibrations are the ... WebJun 16, 2005 · Building on Fujita-Griffiths method of computing metrics on Hodge bundles, we show that the direct image of an adjoint semi-ample line bundle by a projective …

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WebKodaira-Spencer maps on Hodge bundles, which we are going to describe. A polarized variation of Hodge structure VQ on XQ gives rise the Hodge bundles £o = gr FoV= 0 ES>< p+q=k and the linearlizations of the Gauss-Manin flat connection p+q=k According Simpson's terminology [SI] we shall call the pair (EO,0Q) a system of Hodge bundles. WebConsequence of the Hodge index theorem. Ask Question Asked 8 years, 6 months ago. Modified 8 ... but not linear equivalent. In addition, the corresponding line bundle $\mathscr L_1 := \mathscr L_{H_1}$ shall be very ample but $\mathscr L_2 :=\mathscr L_{H_2}$ not. ... Because a divisor on a smooth algebraic curve is ample iff it has positive ...

WebHodge bundles File (s) Name Griffiths_Completion.pdf Description Paper Size 659.98 KB Format Adobe PDF View/Download Downloads 72 Acquisition Date Mar 29, 2024 Views … WebBSN Core Program Tuition: $17,200.00 per session. BS Dental Hygiene Core Program Tuition: $17,200.00 per session. MAcc Core Program Tuition: $9,966.67 per session. PTA …

WebSample slopes. The rst two examples in Figure 1 depict periodic bil-liard trajectories in P for the sequence of slopes s n = 1=(n). In the rst ... of the Hodge bundle with respect to the Teichmuller geodesic ow. Publ. Math. IHES 120(2014), 207{333. [FLP] A. Fathi, F. Laudenbach, and V. Po enaru. Travaux de Thurston sur WebOne application of our local Hodge index theorem is a non-archimedean analogue of the theorem of Calabi [Ca] on the uniqueness of semipositive metrics on an ample line bundle on Xan with a given volume form. Arithmetic Hodge index theorem Let K be a number eld and X be a normal and geometrically integral projective variety over Kof dimension n 1.

WebThe meaning of HODGE is an English rustic or farm laborer. Love words? You must — there are over 200,000 words in our free online dictionary, but you are looking for one that’s only …

Webthe classical Lefschetz theorems for line bundles to the normal case. Remark 1.1. The assumption “M is Li-bounded for each i”isnecessaryfor the condition of the equality. For counterexample, assume n =2andL¯ is induced from an arithmetically ample line bundle L on an integral model X of X.Let↵ : X0!Xbe the blowing-up of a closed point on ... j boumanWebmethods give boundedness for the canonical extensions of the Hodge bundles. Explicit bounds were not given however. Conversely, knowing that bounds on the degrees of the … j bo\\u0027s pizza durangoWebNov 15, 2024 · 4.2. Line bundles and Picard groups of the moduli stack of stable curves. We will first consider some special line bundles on the moduli stack of stable curves $\overline{\mathscr{M}}_{g,n}$, including Hodge bundle, point bundles and boundary divisors, tangent bundle, cotangent bundle and normal bundle. jb outbreak\\u0027sWebSubvarieties with ample normal bundle share many interesting geometric properties with ample divisors (see e.g., [6] or [9]). For example, for every coherent sheaf F, the cohomology ... Theorems 1 and 3 follow directly from the Hodge index theorem. (ii) If Y is a complete intersection, or more generally, a transverse intersection of subva ... kx1 manualWeban abelian variety over K whose Hodge bundle is ample over P1 k. To understand the theorem, we can take advantage of the simplicity of the theory of vector bundles on the … jb output\\u0027sWebHodge theory, the so-called system of Hodge bundles (E,θ), to be the associated graded Higgs bun- ... cal linear system twisted by an anti-ample line bundle A−1 on Y. Via the maximal non-zero ... jb outpost\u0027sWebHodge bundles File (s) Name Griffiths_Completion.pdf Description Paper Size 659.98 KB Format Adobe PDF View/Download Downloads 72 Acquisition Date Mar 29, 2024 Views 353 Acquisition Date Mar 29, 2024 jb outbreak\u0027s