Journal article
The J-flow on Kahler surfaces: a boundary case
Analysis & PDE, Vol.7(1), pp.215-226
04/18/2012
DOI: 10.2140/apde.2014.7.215
Abstract
Anal. PDE 7 (2014) 215-226 We study the J-flow on Kahler surfaces when the Kahler class lies on the boundary of the open cone for which global smooth convergence holds, and satisfies a nonnegativity condition. We obtain a C^0 estimate and show that the J-flow converges smoothly to a singular Kahler metric away from a finite number of curves of negative self-intersection on the surface. We discuss an application to the Mabuchi energy functional on Kahler surfaces with ample canonical bundle.
Details
- Title: Subtitle
- The J-flow on Kahler surfaces: a boundary case
- Creators
- Hao FangMijia LaiJian SongBen Weinkove
- Resource Type
- Journal article
- Publication Details
- Analysis & PDE, Vol.7(1), pp.215-226
- DOI
- 10.2140/apde.2014.7.215
- ISSN
- 1948-206X
- eISSN
- 1948-206X
- Language
- English
- Date published
- 04/18/2012
- Academic Unit
- Mathematics
- Record Identifier
- 9983985926802771
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