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- W4287114774 abstract "Let $X$ be a compact Kahler manifold. We study plurisupported currents on $X$, i.e. closed, positive $(1,1)$-currents which are supported on a pluripolar set. In particular, we are able present a technical generalization of Witt-Nystrom's proof of the BDPP conjecture on projective manifolds, showing that this conjecture holds on $X$ admitting at least one plurisupported current $T$ such that $[T]$ is Kahler. One of the steps in our proof is to show an upper-bound for the pluripolar mass of certain envelopes of quasi-psh functions when the cohomology class is shifted, a result of independent interest. Using this, we are able to generalize an inequality of McKinnon and Roth to arbitrary pseudoeffective classes on compact Kahler manifolds." @default.
- W4287114774 created "2022-07-25" @default.
- W4287114774 creator A5013745634 @default.
- W4287114774 date "2021-06-22" @default.
- W4287114774 modified "2023-10-18" @default.
- W4287114774 title "Plurisupported Currents on Compact Kahler Manifolds" @default.
- W4287114774 doi "https://doi.org/10.48550/arxiv.2106.12017" @default.
- W4287114774 hasPublicationYear "2021" @default.
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