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Transactions of the American Mathematical Society

Published by the American Mathematical Society, the Transactions of the American Mathematical Society (TRAN) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.43.

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On the construction of Nadel multiplier ideal sheaves and the limiting behavior of the Ricci flow
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by Yanir A. Rubinstein PDF
Trans. Amer. Math. Soc. 361 (2009), 5839-5850

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
  • MR Author ID: 795645
  • Email: yanir@member.ams.org
  • Received by editor(s): August 30, 2007
  • Published electronically: May 7, 2009

  • Dedicated: To Aynat Rubinstein
  • © Copyright 2009 Yanir A. Rubinstein
  • Journal: Trans. Amer. Math. Soc. 361 (2009), 5839-5850
  • MSC (2000): Primary 32Q20; Secondary 14J45, 32L10, 32W20, 53C25, 58E11
  • DOI: https://doi.org/10.1090/S0002-9947-09-04675-3
  • MathSciNet review: 2529916