Equidistribution for non-pluripolar currents with respect to holomorphic correspondences of compact Kähler manifolds

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초록

Let X be a compact K & auml;hler manifold of complex dimension k >= 2 and f:X -> X a holomorphic correspondence with simple action on cohomology such that f-1 is also a holomorphic correspondence. We prove that the sequence of normalized pull-backs of a non-pluripolar current under iterates of f converges to the Green current associated with f.

키워드

Green currentEquidistributionSuperpotentialNon-pluripolar productPOSITIVE CLOSED CURRENTSSUPER-POTENTIALSGREEN CURRENTAUTOMORPHISMSINTERSECTIONDYNAMICS
제목
Equidistribution for non-pluripolar currents with respect to holomorphic correspondences of compact Kähler manifolds
저자
Ahn, TaeyongVu, Duc-Viet
DOI
10.1007/s13324-024-00977-0
발행일
2024-12
유형
Article
저널명
Analysis and Mathematical Physics
14
6