Upper level sets of Lelong numbers on P-2 and cubic curves

Date

2021-11-01

Author

Kişisel, Ali Ulaş Özgür
Yazıcı, Özcan

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Let T be a positive closed current of bidimension (1, 1) with unit mass on P-2 and V-alpha(T) be the upper level sets of Lelong numbers nu(T, x) of T. For any alpha >= 1/3, we show that vertical bar V-alpha(T)\C vertical bar <= 2 for some cubic curve C.

Subject Keywords

Positive closed currents , Lelong numbers , Cubic curves

URI

https://hdl.handle.net/11511/94528

Journal

MATHEMATISCHE ZEITSCHRIFT

DOI

https://doi.org/10.1007/s00209-021-02907-3

Collections

Department of Mathematics, Article

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Citation Formats

A. U. Ö. Kişisel and Ö. Yazıcı, “Upper level sets of Lelong numbers on P-2 and cubic curves,” MATHEMATISCHE ZEITSCHRIFT, pp. 0–0, 2021, Accessed: 00, 2021. [Online]. Available: https://hdl.handle.net/11511/94528.