Remote Access Proceedings of the American Mathematical Society
Green Open Access

Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

Request Permissions   Purchase Content 
 

 

The intersection of an entire holomorphic mapping and a complex Monge-Ampère current with a bounded potential


Author: Yusaku Tiba
Journal: Proc. Amer. Math. Soc. 144 (2016), 5265-5273
MSC (2010): Primary 32H30, 32U40
DOI: https://doi.org/10.1090/proc/13295
Published electronically: July 26, 2016
MathSciNet review: 3556270
Full-text PDF

Abstract | References | Similar Articles | Additional Information

Abstract: In this paper, we study the intersection of an entire holomorphic mapping and a complex Monge-Ampère current with a bounded potential. By using our results, we show a sufficient condition involving order functions of an entire holomorphic mapping such that the complement of its image is a pluripolar set.


References [Enhancements On Off] (What's this?)


Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC (2010): 32H30, 32U40

Retrieve articles in all journals with MSC (2010): 32H30, 32U40


Additional Information

Yusaku Tiba
Affiliation: Graduate School of Mathematical Sciences, University of Tokyo, 3-8-1 Komaba, Meguro-ku, Tokyo, Japan
Email: tiba@ms.u-tokyo.ac.jp

DOI: https://doi.org/10.1090/proc/13295
Received by editor(s): February 18, 2016
Published electronically: July 26, 2016
Communicated by: Franc Forstneric
Article copyright: © Copyright 2016 American Mathematical Society