Extension theorems, non-vanishing and the existence of good minimal models

We prove an extension theorem for effective purely log-terminal pairs ( X, S + B ) of non-negative Kodaira dimension . The main new ingredient is a refinement of the Ohsawa–Takegoshi L 2 extension theorem involving singular Hermitian metrics.

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Bibliographische Detailangaben
Veröffentlicht in:	Acta mathematica 2013, Vol.210 (2), p.203-259
Hauptverfasser:	Demailly, Jean-Pierre, Hacon, Christopher D., Păun, Mihai
Format:	Artikel
Sprache:	eng
Schlagworte:	Existence theorems Ingredients Mathematical models Mathematics Mathematics and Statistics Studies Theorems
Online-Zugang:	Volltext
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Beschreibung
Zusammenfassung:	We prove an extension theorem for effective purely log-terminal pairs ( X, S + B ) of non-negative Kodaira dimension . The main new ingredient is a refinement of the Ohsawa–Takegoshi L 2 extension theorem involving singular Hermitian metrics.
ISSN:	0001-5962 1871-2509
DOI:	10.1007/s11511-013-0094-x