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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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Base loci of linear series are numerically determined
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by Michael Nakamaye PDF
Trans. Amer. Math. Soc. 355 (2003), 551-566 Request permission

Abstract:

We introduce a numerical invariant, called a moving Seshadri constant, which measures the local positivity of a big line bundle at a point. We then show how moving Seshadri constants determine the stable base locus of a big line bundle.
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Additional Information
  • Michael Nakamaye
  • Affiliation: Department of Mathematics and Statistics, University of New Mexico, Albuquerque, New Mexico 87131
  • MR Author ID: 364646
  • Email: nakamaye@math.unm.edu
  • Received by editor(s): January 16, 2002
  • Published electronically: October 9, 2002
  • Additional Notes: Partially supported by NSF Grant DMS 0070190
  • © Copyright 2002 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 355 (2003), 551-566
  • MSC (2000): Primary 14J17
  • DOI: https://doi.org/10.1090/S0002-9947-02-03180-X
  • MathSciNet review: 1932713