Entire pluricomplex Green functions and Lelong numbers of projective currents

Author:
Dan Coman

Journal:
Proc. Amer. Math. Soc. **134** (2006), 1927-1935

MSC (2000):
Primary 32U25, 32U35; Secondary 32U05, 32U40

DOI:
https://doi.org/10.1090/S0002-9939-05-08193-1

Published electronically:
December 19, 2005

MathSciNet review:
2215761

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Abstract | References | Similar Articles | Additional Information

Abstract: Let be a positive closed current of bidimension (1,1) and unit mass on the complex projective space . We prove that the set of points where has Lelong number larger than is contained in a complex line if , and for some complex line if . We also prove that in dimension 2 and if , then for some conic .

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Additional Information

**Dan Coman**

Affiliation:
Department of Mathematics, 215 Carnegie Hall, Syracuse University, Syracuse, New York 13244-1150

Email:
dcoman@syr.edu

DOI:
https://doi.org/10.1090/S0002-9939-05-08193-1

Keywords:
Pluricomplex Green functions,
Lelong numbers

Received by editor(s):
September 9, 2004

Received by editor(s) in revised form:
February 1, 2005

Published electronically:
December 19, 2005

Additional Notes:
The author was supported by NSF grant DMS 0140627

Communicated by:
Mei-Chi Shaw

Article copyright:
© Copyright 2005
American Mathematical Society

The copyright for this article reverts to public domain 28 years after publication.