A transcendental approach to Kollár's injectivity theorem
From MaRDI portal
Publication:690713
zbMath1270.32004arXiv0704.0073MaRDI QIDQ690713
Publication date: 28 November 2012
Published in: Osaka Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0704.0073
Lua error in Module:PublicationMSCList at line 37: attempt to index local 'msc_result' (a nil value).
Related Items (15)
Injectivity Theorems with Multiplier Ideal Sheaves and Their Applications ⋮ A Kollár-type vanishing theorem ⋮ On an injectivity theorem for log-canonical pairs with analytic adjoint ideal sheaves ⋮ Some Kollár-Enoki type injectivity theorems on compact Kähler manifolds ⋮ Several injectivity theorems on compact Kähler manifolds ⋮ \(L^2\)-Dolbeault resolution of the lowest Hodge piece of a Hodge module ⋮ Some applications of the theory of harmonic integrals ⋮ Injectivity theorem for pseudo-effective line bundles and its applications ⋮ Cohomology dimension growth for Nakano \(q\)-semipositive line bundles ⋮ A Nadel vanishing theorem via injectivity theorems ⋮ Nadel-Nakano vanishing theorems of vector bundles with singular Hermitian metrics ⋮ Some vanishing theorems for 𝑘-positive line bundles twisted by pseudo-effective line bundles ⋮ Unnamed Item ⋮ An injectivity theorem with multiplier ideal sheaves of singular metrics with transcendental singularities ⋮ A Nadel vanishing theorem for metrics with minimal singularities on big line bundles
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Minimal model theory for log surfaces
- Basepoint-free theorems: saturation, b-divisors, and canonical bundle formula
- Fundamental theorems for the log minimal model program
- Holomorphic functions of several variables. An introduction to the fundamental theory. With the assist. of Gottfried Barthel transl. by Michael Bridgland
- Global division of cohomology classes via injectivity
- Effective base point free theorem for log canonical pairs --- Kollár type theorem
- Theory of non-lc ideal sheaves: basic properties
- On injectivity, vanishing and torsion-free theorems for algebraic varieties
- A vanishing theorem for semipositive line bundles over non-Kähler manifolds
- Pluricanonical systems on minimal algebraic varieties
- Higher direct images of dualizing sheaves. I
- On numerically effective log canonical divisors
- Cohomology of q-convex spaces in top degrees
- Zariski-decomposition and abundance
- Higher direct images of canonical sheaves tensorized with semi-positive vector bundles by proper Kähler morphisms
- Effective base point free theorem for log canonical pairs. II: Angehrn-Siu type theorems
- Multiplication maps and vanishing theorems for toric varieties
- \(L^ 2\) estimates and existence theorems for the \(\partial\)-operator
- On a curvature condition that implies a cohomology injectivity theorem of Kollár-Skoda type
- A transcendental approach to Kollár's injectivity theorem II
- Introduction to the theory of quasi-log varieties
- Non-vanishing theorem for log canonical pairs
- Multiplier ideal sheaves and existence of Kähler-Einstein metrics of positive scalar curvature
- Vanishing theorems for toric polyhedra
- Estimations $\mathrm{L}^2$ pour l'opérateur $\bar \partial$ d'un fibré vectoriel holomorphe semi-positif au-dessus d'une variété kählérienne complète
- ON $n$-DIMENSIONAL CANONICALLY POLARIZED VARIETIES AND VARIETIES OF FUNDAMENTAL TYPE
This page was built for publication: A transcendental approach to Kollár's injectivity theorem