Document Type

Article

Date

9-13-2004

Disciplines

Mathematics

Description/Abstract

Let T be a positive closed current of bidimension (1,1) and unit masson the complex projective space Pn. We prove that the set Valpa(T) of points where T has Lelong number larger than alpha is contained in a complex line if alpha ≥ 2/3, and |V alpa(T ) \ L| ≤ 1 for some complex line L if 1/2 ≤ alpha < 2/3. We also prove that in dimension 2 and if 2/5 ≤ alpha < 1/2, then |V alpha (T ) \ C| ≤ 1 for some conic C.

Additional Information

This manuscript is from arXiv.org, for more information see http://arxiv.org/abs/math/0409210

Source

Harvested from arXiv.org

Creative Commons License

Creative Commons Attribution 3.0 License
This work is licensed under a Creative Commons Attribution 3.0 License.

Included in

Mathematics Commons

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