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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

   

 

On the construction of Nadel multiplier ideal sheaves and the limiting behavior of the Ricci flow


Author: Yanir A. Rubinstein
Journal: Trans. Amer. Math. Soc. 361 (2009), 5839-5850
MSC (2000): Primary 32Q20; Secondary 14J45, 32L10, 32W20, 53C25, 58E11
Published electronically: May 7, 2009
MathSciNet review: 2529916
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Abstract: In this note we construct Nadel multiplier ideal sheaves using the Ricci flow on Fano manifolds. This extends a result of Phong, Šešum, and Sturm. These sheaves, like their counterparts constructed by Nadel for the continuity method, can be used to obtain an existence criterion for Kähler-Einstein metrics.


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Additional Information

Yanir A. Rubinstein
Affiliation: Department of Mathematics, Massachusetts Institute of Technology, Cambridge, Masachusetts 02139-4307
Address at time of publication: Department of Mathematics, Princeton University, Princeton, New Jersey 08544
Email: yanir@member.ams.org

DOI: http://dx.doi.org/10.1090/S0002-9947-09-04675-3
PII: S 0002-9947(09)04675-3
Received by editor(s): August 30, 2007
Published electronically: May 7, 2009
Dedicated: To Aynat Rubinstein
Article copyright: © Copyright 2009 Yanir A. Rubinstein