Monotonicity of non-pluripolar Monge-Ampere masses

DOI10.1512/iumj.2019.68.7630zbMath1422.32041arXiv1703.01950OpenAlexW2963586732WikidataQ127937178 ScholiaQ127937178MaRDI QIDQ5225165

David Witt Nyström

Publication date: 19 July 2019

Published in: Indiana University Mathematics Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1703.01950

zbMATH Keywords

compact Kähler manifoldnon-pluripolar Monge-Ampère mass

Mathematics Subject Classification ID

Complex Monge-Ampère operators (32W20) Currents (32U40)

Related Items (23)

The metric geometry of singularity types ⋮ Extremizers of the \(J\) functional with respect to the \(d_1\) metric ⋮ Complex Hessian equations with prescribed singularity on compact Kähler manifolds ⋮ Convexity of the class of currents with finite relative energy ⋮ \(L^1\) metric geometry of big cohomology classes ⋮ Mabuchi geometry of big cohomology classes ⋮ Continuity method with movable singularities for classical complex Monge-Ampere equations ⋮ Lelong numbers of currents of full mass intersection ⋮ The strong topology of \(\omega \)-plurisubharmonic functions ⋮ Potential theory on an analytic surface ⋮ A relative Yau-Tian-Donaldson conjecture and stability thresholds ⋮ Differential geometry in the large (hybrid meeting). Abstracts from the workshop held July 4--10, 2021 (hybrid meeting) ⋮ Geodesic stability, the space of rays and uniform convexity in Mabuchi geometry ⋮ Log-concavity of volume and complex Monge-Ampère equations with prescribed singularity ⋮ Special metrics in Kähler geometry ⋮ Relative non-pluripolar product of currents ⋮ Optimal asymptotic of the \(J\) functional with respect to the \(d_1\) metric ⋮ \(L^1\) metric geometry of potentials with prescribed singularities on compact Kähler manifolds ⋮ The closures of test configurations and algebraic singularity types ⋮ Comparison of Monge–Ampère capacities ⋮ Density currents and relative non‐pluripolar products ⋮ Non-pluripolar energy and the complex Monge-Ampère operator ⋮ Kähler-Einstein metrics with prescribed singularities on Fano manifolds

Cites Work

• Unnamed Item
• A variational approach to complex Monge-Ampère equations
• Monge-Ampère equations in big cohomology classes
• A new capacity for plurisubharmonic functions
• Fine topology, Šilov boundary, and \((dd^ c)^ n\)
• Monotonicity of nonpluripolar products and complex Monge-Ampère equations with prescribed singularity
• The weighted Monge-Ampère energy of quasiplurisubharmonic functions
• Analytic test configurations and geodesic rays
• On the singularity type of full mass currents in big cohomology classes
• WEAK GEODESIC RAYS IN THE SPACE OF KÄHLER POTENTIALS AND THE CLASS

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