2024 Numerically trivial line bundle

Numerically trivial line bundle

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WebWe develop an intersection theory for pseudoeffective singular hermitian line bundles (cf. Definition 2.4) on a smooth projective variety and irreducible curves on the variety. And … WebPic(X)=Pic0(X), where Pic0(X) is the subgroup of all line bundles that are algebraically equivalent to zero. De nition 1.2.4. The group Num(X) is de ned as the quotient of the …

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WebNUMERICALLY TRIVIAL FOLIATIONS, IITAKA FIBRATIONS AND THE NUMERICAL DIMENSION THOMAS ECKL Abstract. Modifying the notion of numerically trivial … 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 … life of a oil field worker

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WebEvery semi-ample line bundle is nef, but not every nef line bundle is even numerically equivalent to a semi-ample line bundle. For example, David Mumford constructed a line … Web887 NUMERICALLY TRIVIAL FOLIATIONS by Thomas ECKL 1. Introduction. In the last few years several fibrations related to a nef or even pseudoeffective line bundle L on a … 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 … mcw1215-ormond

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Effective global generation on varieties with numerically trivial ...

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 WebCiteSeerX - Document Details (Isaac Councill, Lee Giles, Pradeep Teregowda): We develop an intersection theory for a singular hemitian line bundle with positive curvature current … mcw1211-port orangeWeb2 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 … life of a perfectionist libby scott

"Webnef tangent bundle is contained in [CP91] and [Zh90]. Acknowledgement: Our collaboration has been made possible by Procope and the DFG Schwerpunktprogramm “Komplexe … " - Numerically trivial line bundle

Numerically trivial line bundle

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WebA map from a variety to projective space is determined by a line bundle and a collection of global sections with no common zeros. As all maps between projective varieties arise in … 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 …

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WebFor a curve C Xand a line bundle L on X, then L.C= deg C(iL). Then K Xis ample (resp. antiample) if K X.C>0 (resp <0) for all curves C X. Similarly, K Xis numerically trivial if K … 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 …

Web9 mrt. 2024 · Tour Start here for a quick overview of the site Help Center Detailed answers to any questions you might have Meta Discuss the workings and policies of this site 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 ...

Web5 jan. 2000 · Numerical trivial fibrations Hajime Tsuji We develop an intersection theory for a singular hemitian line bundle with positive curvature current on a smooth projective … 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

WebA useful criterion for triviality of a line bundle L on an integral curve C is that the trivial line bundle is the unique line bundle of degree 0 which admits a global section. This is …

http://www.numdam.org/item/10.5802/aif.2038.pdf life of an otaku animeWebA line bundle L on X is numerically trivial, if L ⋅C = 0 for all irreducible curves C ⊂ X. The line bundle L is nef if L ⋅C ≥ 0 for all curves C. Let f: Y → X be a surjective map from a … life of an outlaw lyricsWebThere 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 … life of an ultrasound technicianWeb30 mrt. 2024 · Using this we show that if γ∗E is isomorphic to L(γ)⊕r for all γ of the above type, where L(γ)→CP1 is some line bundle, then there is a line bundle ζ over X such … life of antonio lunaWeb7 jan. 2010 · Let L be a line bundle over X with degree(L) = 0. The condition that the rank of NS(X) is one implies that L is numerically trivial. Let (3.5) L := l*L be the pull back to H. … mcw1215 ormond beachWeb18 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 … mcw 1473 hollandWeb4 feb. 2000 · We also characterize a numerically trivial singular hermitain line bundle on a smooth projective variety. Discover the world's research No full-text available ... Since K is nef, f is the... life of an urban designer