Complex Monge-Ampère of a maximum
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- by Eric Bedford and Sione Ma‘u PDF
- Proc. Amer. Math. Soc. 136 (2008), 95-101 Request permission
Abstract:
We derive a formula for $(dd^{c}u)^{n}$ where $u=\max _{j}u_{j}$ is a finite maximum. As an application, we compute the complex equilibrium measures of some generalized polyhedra.References
- Eric Bedford and B. A. Taylor, The Dirichlet problem for a complex Monge-Ampère equation, Invent. Math. 37 (1976), no. 1, 1–44. MR 445006, DOI 10.1007/BF01418826
- Zbigniew Błocki, Equilibrium measure of a product subset of $\textbf {C}^n$, Proc. Amer. Math. Soc. 128 (2000), no. 12, 3595–3599. MR 1707508, DOI 10.1090/S0002-9939-00-05552-0
- Zbigniew Błocki, The domain of definition of the complex Monge-Ampère operator, Amer. J. Math. 128 (2006), no. 2, 519–530. MR 2214901, DOI 10.1353/ajm.2006.0010
- S. Ma‘u, Plurisubharmonic Functions of Logarithmic Growth, PhD Thesis, University of Auckland, Auckland, New Zealand, 2003.
Additional Information
- Eric Bedford
- Affiliation: Department of Mathematics, Indiana University, Bloomington, Indiana 47405
- Email: bedford@indiana.edu
- Sione Ma‘u
- Affiliation: Department of Mathematics, Indiana University, Bloomington, Indiana 47405
- Email: sinmau@indiana.edu
- Received by editor(s): June 9, 2006
- Published electronically: October 16, 2007
- Additional Notes: The first author was supported in part by the NSF
The second author was supported by a New Zealand Science and Technology Post-Doctoral fellowship, contract no. IDNA0401. - Communicated by: Mei-Chi Shaw
- © Copyright 2007
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 136 (2008), 95-101
- MSC (2000): Primary 32U40, 32W20; Secondary 58C35
- DOI: https://doi.org/10.1090/S0002-9939-07-09145-9
- MathSciNet review: 2350393