On a bogomolov type vanishing theorem
WebTheorem 1.1 is called a vanishing theorem because it is equivalent to saying that H0(X,([i] X (log) ⊗OX(−D))∗∗) = 0 for every Weil divisor D with κ(X,D)>i,where(−)∗∗ is double dual. … WebBogomolov-Sommese vanishing on log canonical pairs Patrick Graf Mathematics 2012 Let (X, D) be a projective log canonical pair. We show that for any natural number p, the sheaf (Omega_X^p (log D))^** of reflexive logarithmic p-forms does not contain a Weil divisorial subsheaf… Expand 17 Highly Influenced PDF View 1 excerpt, cites background
On a bogomolov type vanishing theorem
Did you know?
Web21. okt 2012. · We first define a notion of numerical dimension for pseudo-effective line bundles with singular metrics, and then discuss the properties of this numerical … WebK. Kodaira’s vanishing theorem, saying that the inverse of an ample invertible sheaf on a projective complex manifold X has no cohomology below the di- mension of Xand its generalization, due to Y. Akizuki and S. Nakano, have been proven originally by methods from di erential geometry ([39] and [1]).
Web14. feb 2024. · Abstract: We obtain the Bogomolov-Sommese type vanishing theorem involving multiplier ideal sheaves for big line bundles. We define a dual Nakano … Web26. jul 2024. · On a vanishing theorem due to Bogomolov Xiaojun Wu Mathematics 2024 In this note, we give a new proof of a vanishing result originally due to Bogomolov, and …
Web17. mar 2024. · In this article, we obtain the Bogomolov–Sommese type vanishing theorem involving multiplier ideal sheaves for big line bundles. We define a dual … http://math0.bnu.edu.cn/~wangzw/paper.html
Web05. dec 2024. · Vanishing Theorems for Sheaves of Logarithmic Differential Forms on Compact Kähler Manifolds Chunle Huang, Kefeng Liu, Xueyuan Wan, Xiaokui Yang Mathematics International Mathematics Research Notices 2024 In this paper, we first establish an $L^2$-type Dolbeault isomorphism for logarithmic differential forms by …
Web26. jul 2024. · On a Bogomolov type vanishing theorem Papers With Code No code available yet. No code available yet. Portals About Sign In Subscribe to the PwC … mowgli reviews glasgowWebBOGOMOLOV-GIESEKER INEQUALITY AND COHOMOLOGY VANISHING IN CHARACTERISTIC p TOHRU NAKASHIMA (Communicated by Eric Friedlander) Abstract. We prove an analogue of the Bogomolov-Gieseker inequality for rank-two bundles on varieties defined over a field of positive characteristic. We mowgli runs away from kaaWebBy Bogomolov’s decomposition theorem for a Kähler manifold with trivial canonical class ([1, 2]), any hyper-kähler manifold is biholomorphic to a product of irreducible hyper-kähler manifolds and a hyper-kähler complex torus up to finite cover. mowgli restaurant beachamptonWebVANISHING THEOREM ON SINGULAS R SPACES J.H.M. Steenbrink. 1. INTRODUCTION The classical vanishing theorem of Kodaira-Akizuki-Nakano [1] of which we will describe a gêneraiization to singular spaces is the following. THEOREM . Let X be an x\-dimensional compact complex manifold, L ample an line bundle on X. Then HQ(X,^ ® L) = 0 for p + q … mowglis brothers audioWeb14. feb 2024. · In this article, we obtain the Bogomolov-Sommese type vanishing theorem involving multiplier ideal sheaves for big line bundles. We define a dual Nakano semi … mowglis bear friend in jungle bookWeb27. nov 2024. · On a vanishing theorem due to Bogomolov Xiaojun Wu In this note, we give a new proof of a vanishing result originally due to Bogomolov, and later … mowglis charlotte streetWeb30. apr 2024. · These allow us to prove new vanishing theorems for stable sheaves and an effective Serre vanishing theorem for torsion free sheaves. Using these results, we also … mowglis brighton