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Transactions of the American Mathematical Society

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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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Collapsing of products along the Kähler-Ricci flow
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by Matthew Gill PDF
Trans. Amer. Math. Soc. 366 (2014), 3907-3924 Request permission

Abstract:

Let $X = M \times E$, where $M$ is an $m$-dimensional Kähler manifold with negative first Chern class and $E$ is an $n$-dimensional complex torus. We obtain $C^\infty$ convergence of the normalized Kähler-Ricci flow on $X$ to a Kähler-Einstein metric on $M$. This strengthens a convergence result of Song-Weinkove and confirms their conjecture.
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Additional Information
  • Matthew Gill
  • Affiliation: Department of Mathematics, University of California, San Diego, 9500 Gilman Drive #0112, La Jolla, California 92093
  • Address at time of publication: Department of Mathematics, University of California, Berkeley, 970 Evans Hall #3840, Berkeley, California 94720-3840
  • MR Author ID: 951451
  • Received by editor(s): June 14, 2012
  • Received by editor(s) in revised form: December 17, 2012
  • Published electronically: November 14, 2013
  • © Copyright 2013 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Trans. Amer. Math. Soc. 366 (2014), 3907-3924
  • MSC (2010): Primary 53C44; Secondary 53C55
  • DOI: https://doi.org/10.1090/S0002-9947-2013-06073-4
  • MathSciNet review: 3192623