An algebraic approach to the openness conjecture of Demailly and Kollár
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Publication:5396096
DOI10.1017/S1474748013000091zbMath1314.32047arXiv1205.4273OpenAlexW2963883401WikidataQ122905184 ScholiaQ122905184MaRDI QIDQ5396096
Mattias Jonsson, Mircea Mustaţă
Publication date: 5 February 2014
Published in: Journal of the Institute of Mathematics of Jussieu (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1205.4273
Singularities in algebraic geometry (14B05) Plurisubharmonic functions and generalizations (32U05) Lelong numbers (32U25) General valuation theory for fields (12J20) Multiplier ideals (14F18)
Related Items (20)
Restriction formula and subadditivity property related to multiplier ideal sheaves ⋮ Concavity of minimal \(L^2\) integrals related to multiplier ideal sheaves on weakly pseudoconvex Kähler manifolds ⋮ Themes on Non-analytic Singularities of Plurisubharmonic Functions ⋮ Parameter dependence of the Bergman kernels ⋮ Strong openness of multiplier ideal sheaves and optimal \(L^{2}\) extension ⋮ Effectiveness of strong openness property in 𝐿^{𝑝} ⋮ On the restriction formula ⋮ Effectiveness of Demailly's strong openness conjecture and related problems ⋮ Concavity of minimal \(L^2\) Integrals related to multiplier ideal sheaves ⋮ Boundary points, minimal \(L^2\) integrals and concavity property \(V\): vector bundles ⋮ Analytic approximations of plurisubharmonic singularities ⋮ Asymptotic multiplicities and Monge-Ampère masses (with an appendix by Sébastien Boucksom) ⋮ The weighted log canonical threshold ⋮ Recent results in several complex variables and complex geometry ⋮ Equivalence of plurisubharmonic singularities and Siu-type metrics ⋮ A variational approach to the Yau–Tian–Donaldson conjecture ⋮ On the Cohomology of Pseudoeffective Line Bundles ⋮ A Survey on L 2 Extension Problem ⋮ Roles of plurisubharmonic functions ⋮ \(L^2\) extension and effectiveness of strong openness property
Cites Work
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- Subharmonicity properties of the Bergman kernel and some other functions associated to pseudoconvex domains
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- Semi-continuity of complex singularity exponents and Kähler–Einstein metrics on Fano orbifolds
- Multiplier ideal sheaves and existence of Kähler-Einstein metrics of positive scalar curvature
- Valuations and multiplier ideals
- Uniform approximation of Abhyankar valuation ideals in smooth function fields
- Notions of convexity
- A subadditivity property of multiplier ideals.
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