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Journal of the American Mathematical Society

Published by the American Mathematical Society, the Journal of the American Mathematical Society (JAMS) is devoted to research articles of the highest quality in all areas of mathematics.

ISSN 1088-6834 (online) ISSN 0894-0347 (print)

The 2020 MCQ for Journal of the American Mathematical Society is 4.83.

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Families of rationally connected varieties
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by Tom Graber, Joe Harris and Jason Starr
J. Amer. Math. Soc. 16 (2003), 57-67
DOI: https://doi.org/10.1090/S0894-0347-02-00402-2
Published electronically: July 29, 2002

Abstract:

We prove that every one-parameter family of complex rationally connected varieties has a section.
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Bibliographic Information
  • Tom Graber
  • Affiliation: Department of Mathematics, Harvard University, 1 Oxford Street, Cambridge, Massachusetts 02138
  • Email: graber@math.harvard.edu
  • Joe Harris
  • Affiliation: Department of Mathematics, Harvard University, 1 Oxford Street, Cambridge, Massachusetts 02138
  • Email: harris@math.harvard.edu
  • Jason Starr
  • Affiliation: Department of Mathmatics, Massachusetts Institute of technology, Cambridge, Massachusetts 02139
  • Email: jstarr@math.mit.edu
  • Received by editor(s): September 6, 2001
  • Received by editor(s) in revised form: May 3, 2002
  • Published electronically: July 29, 2002
  • Additional Notes: The first author was partially supported by an NSF Postdoctoral Fellowship.
    The second author was partially supported by NSF grant DMS9900025.
    The third author was partially supported by a Sloan Dissertation Fellowship.
  • © Copyright 2002 American Mathematical Society
  • Journal: J. Amer. Math. Soc. 16 (2003), 57-67
  • MSC (2000): Primary 14M20, 14D05
  • DOI: https://doi.org/10.1090/S0894-0347-02-00402-2
  • MathSciNet review: 1937199