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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 asymptotic approximations of the residual currents
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by Alekos Vidras and Alain Yger PDF
Trans. Amer. Math. Soc. 350 (1998), 4105-4125 Request permission


We use a $\mathcal {D}$-module approach to discuss positive examples for the existence of the unrestricted limit of the integrals involved in the approximation to the Coleff-Herrera residual currents in the complete intersection case. Our results also provide asymptotic developments for these integrals.
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Additional Information
  • Alekos Vidras
  • Affiliation: Deparment of Mathematics and Statistics, University of Cyprus, Nicosia, Cyprus
  • Alain Yger
  • Affiliation: Department of Mathematics University of Bordeaux I Talence, France
  • Received by editor(s): November 20, 1996
  • © Copyright 1998 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 350 (1998), 4105-4125
  • MSC (1991): Primary 32A27, 32C30
  • DOI:
  • MathSciNet review: 1608506