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Numerically trivial line bundle

Web15 apr. 2024 · A line bundle L on X is k-very ample at Z if the restriction map H 0 (X, L) → H 0 (X, L ⊗ O Z) is surjective. If L is k-very ample at every 0-dimensional subscheme of length k + 1, we say L is k-very ample on X. It is immediate that a line bundle is 0-very. Abelian surfaces with ρ (S) = 1 Webdivisor. Then Lis f-numerically trivial if and only if there is an R-Cartier divisor Don Zsuch that L fD. Again, the pseudo-e ectiveness of Lis crucial: the dimension of the space of divisors that are f-numerically trivial will generally be larger than the dimension of N1(Z). For applications it is more useful to require that Lbe numerically ...

Positivity vs. slope semistability for bundles with vanishing ...

WebH, then Eis an extension by H-stable flat bundles E i. The local freeness of the stablepiecesE i followse.g. from[Sim92,Thm.2],butcouldalsobededucedfrom [BS94, Cor.3]. By the Kobayashi-Hitchin correspondence, the bundles E i admit metrics h i such that (E i;h i) are Hermite-Einstein bundles, see e.g. [LT95, Thm. 3.0.1], hence E i are hermitian ... Web2 are numerically equivalent (D 1 num D 2) if D 1 C= D 2 Cfor all irreducible curves in X. A divisor or line bundle is numerically trivial if it is numerically equivalent to 0. Let … get a block device ready for removal linux https://aparajitbuildcon.com

Positivity vs. slope semistability for bundles with vanishing ...

Web3 okt. 2024 · In this section we prove that a numerically trivial line bundle on a normal projective surface with nef and big anti-canonical divisor is trivial. This is a result which … Web15 nov. 2024 · ∙ If X were a curve, so that algebraically trivial line bundles are exactly the line bundles with degree 0, then it is standard to show that such line bundles have no … Web18 jun. 2001 · A reduction map for nef line bundles. Thomas Bauer, F. Campana, +5 authors. Lorenz Wotzlaw. Published 18 June 2001. Mathematics. arXiv: Algebraic Geometry. In [Ts00], H. Tsuji stated several very interesting assertions on the structure of pseudo-effective line bundles L on a projective manifold X. In particular he postulated … christmas holiday flannel sheets

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Numerically trivial line bundle

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WebNumerically trivial foliations Eckl, Thomas Abstract Given a positive singular hermitian metric of a pseudoeffective line bundle on a complex Kaehler manifold, a singular foliation is constructed satisfying certain analytic analogues of numerical conditions. WebJC defines a numerically trivial line bundle P ξ on JC. Fixing a point c of C, we view the curve C as embedded in JC by sending a point x of C to the isomorphism class of O …

Numerically trivial line bundle

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WebStep 1. Recall that a line bundle L on a projective manifold is nef if L.C ≥ 0 for all curves C on M. If the canonical line bundle K M of M is not nef, then there exists a curve C such … WebarXiv:2304.03163v1 [math.AG] 24 Feb 2024 COMPACT KAHLER 3-FOLDS¨ WITH NEF ANTI-CANONICAL BUNDLE SHIN-ICHI MATSUMURA AND XIAOJUN WU Abstract. In …

WebAlso for any pseudoeffective line bundle on a smooth projective variety, we prove the existence of a rational natural fibration structure associated with the line bundle. We also characterize a numerically trivial singular hermitain line bundle on a smooth projective variety. 1 Documents Authors Tables Documents: Advanced SearchInclude Citations Webis numerically trivial. (1) F is a minimal surface with Kodaira dimension 1 and K Y M=M2=0. (2) K γ is numerically trivial and M2=0. (3) There is an indecomposable …

WebFor example, if L is a nef line bundle on a projective variety X and M is an ample line bundle, then L is semi-ample if and only if the algebra ⊕ a,b≥0H 0(X,aL+bM) is finitely … WebThere is a universal bundle for real line bundles, and a universal bundle for complex line bundles. According to general theory about classifying spaces , the heuristic is to look …

WebResearch into the visualization of abstract data, especially relational data as encoded in networks and graphs, and the related areas of computational geometry, graph theory …

Web4 feb. 2000 · Introducing an "intersection number" of line bundles and curves by using the notion of multiplier ideal sheaves, Iitaka's fibration can be regarded as a "numerically … get a blowWebdivisor. Then Lis f-numerically trivial if and only if there is an R-Cartier divisor Don Zsuch that L fD. Again, the pseudo-e ectiveness of Lis crucial: the dimension of the space of … christmas holiday flyer psdget a blowoutWebWACM if and only if there is a numerically trivial line bundle N such that E is a non-trivial extension of N by N. The line bundle N is uniquely determined by E. E is totally ACM if … christmas holiday flyer templateWeb16 okt. 2024 · Since the second factor gives a factor of automorphy for a topologically trivial line bundle, E is indeed semihomogeneous, hence (3) implies (1). Definition 2.12 (cf. [ L T95 ], Definition 2.1.1) . christmas holiday food driveWebDaniele Agostini , Alex Küronya and Victor Lozovanu Daniele Agostini, Humboldt Universität zu Berlin, Institut für Mathematik, Unter den Linden 6, D-10099 Berlin, Germany danie get a blowout near meWebk-variety V is trivial if and only if the line bundle M K on V K is trivial. (See Exercise (2.1).) Hence we may first pass to a bigger field K over which the points x and y (and even … christmas holiday flannel sheet sets