2024 Numerically trivial line bundle

Numerically trivial line bundle

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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 … WebC. S. Seshadri showed that a line bundle L on a proper scheme over an algebraically closed field is ample if and only if there is a positive real number ε such that deg ( L C) ≥ ε m ( C) for all (irreducible) curves C in X, where m ( C) is the maximum of the multiplicities at the points of C. [28]

A note on the birational geometry of tropical line bundles

WebPeternell [16]. The theorem essentially says that a pseudoe ective divisor which is numerically trivial on a subvariety with ample normal bundle is very far from being big. … WebWe deﬁne a tropical line bundle of Y ⊆ T as any line bundle on atropical compactiﬁcation Y of Y . Theorem 4.5. The set of tropical line bundles of a closed and … nightcrawler marvel pinterest

Strictly nef vector bundles and characterizations of ℙ n

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 Web12 mei 2024 · This paper describes the structure of singular codimension one foliations with numerically trivial canonical bundle on complex projective manifolds. Skip to ... we … 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 … nps shell

ON THE CANONICAL LINE BUNDLE AND NEGATIVE

Euler characteristics of Tensor power of line bundle

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 this way, one commonly wonders whether a given line bundle is generated by global sections, or equivalently, if the associated linear system is basepoint free. Web(2) Consider a family of rational twisted stable map F : C → X over an irreducible projective scheme T . If this family does not degenerate, i.e. (i) Ct is irreducible for every t ∈ T and (ii) Ft : Ct → X is birational to its image for every t, then the number of twisted points on Ct is … nps shenandoahWebarXiv:2304.03163v1 [math.AG] 24 Feb 2024 COMPACT KAHLER 3-FOLDS¨ WITH NEF ANTI-CANONICAL BUNDLE SHIN-ICHI MATSUMURA AND XIAOJUN WU Abstract. In … nightcrawler native american myth

"WebLbe an ample and globally generated line bundle. Let (E;h) be a Hermitian holomorphic vector bundle with Nakano semi-positive curvature. Suppose A is a nef but not … " - Numerically trivial line bundle

Numerically trivial line bundle

Can a non-trivial effective divisor on a (not necessarily smooth ...

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

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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 … 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 …

WebDeﬁnition 2.1. A line bundle L is said to be strictly nef, if for any irreducible curve C in X, (2.2) L·C > 0. There are many strictly nef line bundles which are not ample (e.g. … 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 …

Web3 Differentials With Coefficients in a Line Bundle. In this section, we prove several properties of nef line bundles on a Calabi–Yau three-fold. For future applications in Part … Web19 dec. 2009 · Let M be a compact, holomorphic symplectic Kähler manifold, and L a non-trivial line bundle admitting a metric of semipositive curvature. We show that some power of L is effective. This result is related to the hyperkähler SYZ conjecture, which states that such a manifold admits a holomorphic Lagrangian fibration, if L is not big.

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 ...

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 … nps shoes ltd premium 20 lochWeb7 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. … nps show malvernWebvector bundles is the F–trivial vector bundle; a vector bundle is called F–trivial ifitspullbackbysomepoweroftheFrobeniusmorphismistrivial. TheF–trivial … nightcrawler movie watch online freeWeb1 sep. 2009 · Published 1 September 2009. Mathematics. arXiv: Algebraic Geometry. We prove that a smooth complex projective threefold with a K\"ahler metric of negative … nightcrawler netflix redditWeb1 mrt. 2024 · In this note, we give a brief exposition on the differences and similarities between strictly nef and ample vector bundles, with particular focus on the circle of problems surrounding the... nightcrawler patronWebk-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 … nps shingles vaccineWebA line bundle L is generically nef if L·h ≥ 0 for all ample classes h. In the next section we extend this deﬁnition to vector bundles. Although generically nef line bundles are in … nightcrawler movie poster