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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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Degenerations of curves in $P^{3}$
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by Allen Tannenbaum PDF
Proc. Amer. Math. Soc. 68 (1978), 6-10 Request permission

Abstract:

In this paper we prove every connected, reduced curve in ${{\mathbf {P}}^3}$ of arithmetic genus 0, may be flatly smoothed. Moreover, we give a new example of a reduced singular curve in ${{\mathbf {P}}^3}$ which cannot be flatly smoothed.
References
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Additional Information
  • © Copyright 1978 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 68 (1978), 6-10
  • MSC: Primary 14H20; Secondary 14D15
  • DOI: https://doi.org/10.1090/S0002-9939-1978-0457448-7
  • MathSciNet review: 0457448