Semipositive sheaf
WebIf h is Griffiths semipositive, the higher rank analogue of the multiplier ideal sheaf $\mathcal {E}(h)$ is coherent. This conjecture seems a tough problem due to the following reasons. … WebOct 22, 2024 · Find an answer to your question Cite some examples of figurative language in “The Passionate Shepherd to His Love” or “The Nymph’s Reply to the Shepherd” and ex…
Semipositive sheaf
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WebMay 5, 2013 · As it is well known, the Mumford–Takemoto semistability of a coherent sheaf makes reference to its coherent sheaves [11, 12, 17].This is also the case for Higgs sheaves [4, 15], and hence the notion of semistability makes reference to Higgs subsheaves.In this article, the basic properties of Higgs sheaves are studied; some of them are simple … WebTheorem 1.2 Let π: X−→ ∆ be a smooth projective family. Suppose that K X0 is pseudoeffective. Then K Xt is pseudoeffective for every t∈ ∆. The proof of Theorem 1.1 consists of the inductive estimates of singular hermitian metrics. This is more straightforward than the inductive com-
WebIn Theorem 1.2, we do not need to twist the sheaf KX ⊗OX(D)⊗Fwith multiplier ideal sheaf I(D) of divisor. The vanishing of Hq(X,KX ⊗ OX(D) ⊗ F⊗ I(D)) is the direct consequence of Nadel vanishing theorem. Our method is the combin-ing of L2 technique in [HLWY16] and Runge-type approximation method rooted in [Naka74, Kaza73, Take81, OhTa81]. WebJan 1, 2003 · Let X be a scheme, proper over a commutative Noetherian ring A.We introduce the concept of an ample filter of invertible sheaves on X and generalize the most important equivalent criteria for ampleness of an invertible sheaf. We also prove the Theorem of the Base for X and generalize Serre's Vanishing Theorem. We then generalize results for …
WebSemiample invertible sheaves with semipositive continuous hermitian metrics. Atsushi Moriwaki Department of Mathematics, Faculty of Science, Kyoto University, Kyoto, 606 … WebLet (L, h) be a pair of a semiample invertible sheaf and a semipositive continuous hermitian metric on a proper algebraic variety. In this paper, we prove that (L, h) is semiample metrized, which is a generalization of the question due to S. Zhang.
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WebIf Fhas a Griffith semipositive sHm, then is weakly positive in the sense of Nakayama. (Hosono 17) There exists a weakly positive vector bundle E in the sense of Nakayama … saved by the bell zack and kellyWebX=Y (D) is locally free and semi-positive. Here a locally free sheaf L on a smooth complete variety Y is called semi-positive if for any morphism gfrom a smooth complete curve to Y, any quotient line bundle (i.e., invertible sheaf) of g L has non-negative degree (see for instance [Ft], [Kaw1]). In Corollary 2, it is not necessary to assume that ... scaffold sunshine coastWebsmooth metric with semipositive curvature. In that case, the multiple ideal sheaf I(h) coincides with OX and we get the following consequence already observed by Enoki … saved by the bell zack dollWebMar 1, 2014 · An important progress in classification theory was stimulated by a theorem of Fujita, who showed [3] that if X is a compact Kähler manifold and f: X → B is a fibration onto a smooth projective curve B (i.e., f has connected fibres), then the direct image of the relative dualizing sheaf V: = f ⁎ ω X B is a numerically semipositive vector ... scaffold supplier near meWebX=Y (D) is locally free and semi-positive. Here a locally free sheaf L on a smooth complete variety Y is called semi-positive if for any morphism gfrom a smooth complete curve to Y, any quotient line bundle (i.e., invertible sheaf) of g L has non-negative degree (see for … saved by the bell zack and lisaWebNov 14, 2024 · For such products, a semipositive mold is designed (Fig. 1.1.14), with the flash at a right angle to the direction of pressure. The semipositive, vertical-flash type … saved by the bell zit creamWebJingcao Wu's 7 research works with 54 reads, including: The Kawamata–Viehweg–Nadel-type vanishing theorem and the asymptotic multiplier ideal sheaf scaffold suppliers manchester