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Singularities of currents of full mass intersection

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arxiv 2503.09233 v1 pith:5UL5VYXY submitted 2025-03-12 math.CV math.AG

Shuang Su This is my paper · ORCID
classification math.CVmath.AG
keywords currentsfullintersectionmasssingularitiesahlercompactcompare
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In this paper, we study currents that have full mass intersection with respect to given currents in the mixed setting on a compact K\"ahler manifold. We compare their singularities by using Lelong numbers. Our main theorems generalize some results of Vu.

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  1. Analytic Bertini theorem II --- The local case

    math.AG 2026-07 accept novelty 8.0 of 10

    The local analytic Bertini theorem holds: multiplier ideal sheaves of psh functions on polydisc products restrict to fibers outside a pluripolar set.

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