Semipositive sheaf
Webof stable varieties is said to be semipositive (in the sense of Koll´ar) if the following condition holds: There is a fixed m0 such that if Cis a smooth projective curve and (f: X→ C) ∈ Mstable(C), then f ! [m] X=C is a nef locally free sheaf on Cfor every m≥ m0. WebTHEN AND NOW: The cast of 'Almost Famous' 22 years later. Savanna Swain-Wilson. Updated. Kate Hudson starred in "Almost Famous." DreamWorks; Richard …
Semipositive sheaf
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WebWhen A ∈ Rn×n is semipositive, it is shown in [18] that KA is a closed, pointed cone in Rn with nonempty interior. Our purpose is to further study the set KA when A ∈ Rm×n, contributing to a better understanding of semipositive matrices and their mapping properties. Specifically, we will show that KA is a proper polyhedral cone, find a formula … WebA locally free sheafFon a complete varietyYis said to benumerically semi- positiveif the tautological invertible sheafOP(F)(1) on the projectivized bundle P(F) is nef. This is a weaker condition than the existence of semi-positive metric, which is still weaker than the condition that the sheaf is generated by global sections. We work over C.
WebA locally free sheaf F on a complete variety Y is said to be numerically semi-positive if the tautological invertible sheaf OP(F)(1) on the projectivized bundle P(F) is nef. This is a … 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 …
WebApr 10, 2024 · A nef locally free sheaf was originally called a ( numerically) semipositive locally free sheaf in the literature. Lemma 3.1.9 Let \mathcal {E} be a locally free sheaf of … WebMar 1, 2014 · In particular, the curvature Θ V ⁎ of V ⁎ is semipositive. The dual of the principle ‘curvature decreases in Hermitian subbundles’ [7] implies that the curvature of Q …
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 …
WebJingcao Wu's 7 research works with 54 reads, including: The Kawamata–Viehweg–Nadel-type vanishing theorem and the asymptotic multiplier ideal sheaf glenbow alberta institute actWebSEMI-STABILITY OF THE TANGENT SHEAF OF SINGULAR VARIETIES semipositive big form. Thanks to Yau’s theorem, we can find a smooth solution ϕof the following Monge-Amp`ere equation: We take the same notations as in the previous sections, namely: α=P ai<0 −a i The case where−K X is nef is very similar. body kits toyota celicaWebThese ideal sheaves are older than Nadel's work. For instance, they were extremely common in the work of Esnault and Viehweg in the early 1980s (see for instance their notes which … glenbow archivesWebX=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 ... body kits websiteWebgeneric semipositivity of the sheaf of logarithmic di erentials of a log canonical pair with pseudo-e ective log canonical class, in the spirit of Miyaoka’s theorem. 1. Introduction 1.1 … glenbow archives photographsWebThen f*(wx/y (D .P( - [D/N])) is semi-positive. Proof. By 1.4(b) the statement is compatible with blowing ups. As 03BA(FN( - D)) = n, we may assume (for example as in [2], 2.12) that … body kit swiftWebLet (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. glenbow archives photos