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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles 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 1.48.

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On foliations with nef anti-canonical bundle
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by Stéphane Druel PDF
Trans. Amer. Math. Soc. 369 (2017), 7765-7787 Request permission

Abstract:

In this paper we prove that the anti-canonical bundle of a holomorphic foliation $\mathscr {F}$ on a complex projective manifold cannot be nef and big if either $\mathscr {F}$ is regular, or $\mathscr {F}$ has a compact leaf. Then we address codimension one regular foliations whose anti-canonical bundle is nef with maximal Kodaira dimension.
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Additional Information
  • Stéphane Druel
  • Affiliation: Institut Fourier, UMR 5582 du CNRS, Université Grenoble 1, BP 74, 38402 Saint Martin d’Hères, France
  • MR Author ID: 639659
  • Email: stephane.druel@univ-grenoble-alpes.fr
  • Received by editor(s): July 9, 2015
  • Received by editor(s) in revised form: November 17, 2015
  • Published electronically: May 1, 2017
  • © Copyright 2017 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 369 (2017), 7765-7787
  • MSC (2010): Primary 37F75
  • DOI: https://doi.org/10.1090/tran/6873
  • MathSciNet review: 3695844