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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Conormal varieties and characteristic varieties
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by S. C. Coutinho, M. P. Holland and D. Levcovitz PDF
Proc. Amer. Math. Soc. 128 (2000), 975-980 Request permission

Abstract:

We show that the conormal variety of a quasihomogeneous hypersurface in ${\mathbb {C}}^{n}$, for $n\ge 4$, whose link is a $\mathbb {Q}$-homology sphere is not the characteristic variety of any ${\mathcal {D}}$-module.
References
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Additional Information
  • S. C. Coutinho
  • Affiliation: Departamento de Ciências da Computação, Universidade Federal do Rio de Janeiro, P.O. Box 68530, 21945-970 Rio de Janeiro, RJ, Brazil
  • Email: collier@impa.br
  • M. P. Holland
  • Affiliation: Pure Mathematics Section, School of Mathematics and Statistics, University of Sheffield, Hicks Building, Sheffield S3 7RH, United Kingdom
  • Email: m.holland@shef.ac.uk
  • D. Levcovitz
  • Affiliation: Instituto de Ciências Matemáticas e Computação, Universidade de São Paulo, P.O. Box 668, 13560-970 São Carlos, SP, Brazil
  • Email: lev@icmsc.sc.usp.br
  • Received by editor(s): August 15, 1996
  • Received by editor(s) in revised form: August 7, 1997, and June 2, 1998
  • Published electronically: August 5, 1999
  • Additional Notes: The first author was partially supported by CNPq (Brazil) during the preparation of this paper.
  • Communicated by: Ken Goodearl
  • © Copyright 2000 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 128 (2000), 975-980
  • MSC (1991): Primary 16S32; Secondary 13N10, 32C38
  • DOI: https://doi.org/10.1090/S0002-9939-99-05137-0
  • MathSciNet review: 1641673