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
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