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Transactions of the American Mathematical Society

Published by the American Mathematical Society, the Transactions of the American Mathematical Society (TRAN) is devoted to research articles of the highest quality 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 1.43.

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On a conormal module of smooth set theoretic complete intersections
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by M. Boratyński PDF
Trans. Amer. Math. Soc. 296 (1986), 291-300 Request permission


We prove that $V \subset {\mathbf {A}}_k^n$ ($V$-smooth) is a set-theoretic complete intersection (stci) if and only if $V$ imbedded as a zero section of its normal bundle is a stci, we give a characterization of smooth codimension $2$ stci of index $\leq 4$ in terms of their conormal modules.
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Additional Information
  • © Copyright 1986 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 296 (1986), 291-300
  • MSC: Primary 14M10
  • DOI:
  • MathSciNet review: 837812