Skip to Main Content

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.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

A theorem on smoothness- Bass-Quillen, Chow groups and intersection multiplicity of Serre
HTML articles powered by AMS MathViewer

by S. P. Dutta PDF
Trans. Amer. Math. Soc. 352 (2000), 1635-1645 Request permission

Abstract:

We describe here an inherent connection of smoothness among the Bass–Quillen conjecture, the Chow-group problem and Serre’s Theorem on Intersection Multiplicity. Extension of a theorem of Lindel on smoothness plays a key role in our proof of the Serre-multiplicity theorem in the geometric (resp. unramified) case. We reduce the complete case of the theorem to the above case by using Artin’s Approximation. We do not need the concept of “complete Tor”. Similar proofs are sketched for Quillen’s theorem on Chow groups and its extension due to Gillet and Levine.
References
Similar Articles
  • Retrieve articles in Transactions of the American Mathematical Society with MSC (1991): 13D02, 13H10
  • Retrieve articles in all journals with MSC (1991): 13D02, 13H10
Additional Information
  • S. P. Dutta
  • Affiliation: Department of Mathematics, University of Illinois, 1409 West Green Street, Urbana, Illinois 61801
  • Email: dutta@math.uiuc.edu
  • Received by editor(s): September 9, 1997
  • Published electronically: May 3, 1999
  • Additional Notes: This research was partially supported by an N.S.A. grant and an N.S.F. grant.
  • © Copyright 2000 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 352 (2000), 1635-1645
  • MSC (1991): Primary 13D02; Secondary 13H10
  • DOI: https://doi.org/10.1090/S0002-9947-99-02372-7
  • MathSciNet review: 1621737