Cauchy–Riemann meet Monge–Ampère
This is a relatively self-contained introduction to recent developments in the ∂ ¯ -equation, Ohsawa–Takegoshi extension theorem and applications of pluripotential theory to the Bergman kernel and metric. The main tools are the Hörmander L 2 -estimate for ∂ ¯ and Bedford–Taylor’s theory of the compl...
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| Veröffentlicht in: | Bulletin of mathematical sciences 2014-12, Vol.4 (3), p.433-480 |
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| 1. Verfasser: | |
| Format: | Artikel |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext |
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| Zusammenfassung: | This is a relatively self-contained introduction to recent developments in the
∂
¯
-equation, Ohsawa–Takegoshi extension theorem and applications of pluripotential theory to the Bergman kernel and metric. The main tools are the Hörmander
L
2
-estimate for
∂
¯
and Bedford–Taylor’s theory of the complex Monge–Ampère operator. |
|---|---|
| ISSN: | 1664-3607 1664-3615 |
| DOI: | 10.1007/s13373-014-0058-2 |