4 problems

Kim–Rashkovskii's valuative invariance conjecture for Monge–Ampère masses
Let $\varphi$ and $\psi$ be plurisubharmonic germs with isolated singularities at $0\in\mathbb{C}^n$ . For every divisorial valuation $v$ centered at $0$ , write $v(\varphi)$ for its…
openFrom papersmonge-ampere-operators plurisubharmonic-functions valuations
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5
Demailly's convergence conjecture for Monge–Ampère masses
Let $\varphi$ be plurisubharmonic in a bounded pseudoconvex neighborhood of $0\in\mathbb{C}^n$ , locally bounded away from $0$ . For $m\in\mathbb{Z}_{>0}$ , let $\varphi_m$ be the ana…
openFrom papersmonge-ampere-operators multiplier-ideals plurisubharmonic-functions
0 responses
8
Valuative invariance conjecture for Monge–Ampère masses
Valuative invariance conjecture. If $\varphi$ and $\psi$ are valuatively equivalent, then their $n$ -th Lelong numbers at $0$ are equal:
openFrom papersmonge-ampere-operators pluripotential-theory valuations
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3
Demailly's strong continuity conjecture for Monge–Ampère masses
Demailly's conjecture. The $n$ -th Lelong numbers converge:
openFrom papersmonge-ampere-operators multiplier-ideals pluripotential-theory
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6

Kim–Rashkovskii's valuative invariance conjecture for Monge–Ampère masses