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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Smoothing curves in $ {\bf P}\sp 3$ with $ p\sb a=1$


Author: Carmen A. Sánchez
Journal: Proc. Amer. Math. Soc. 99 (1987), 613-616
MSC: Primary 14H45; Secondary 14C05, 14H50
MathSciNet review: 877026
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Abstract: In [3] Tannenbaum proved that every connected, reduced curve in $ {P^3}$ of arithmetic genus 0 may be smoothed. Here we prove, using results of Hartshorne and Hirschowitz [1], that every connected, reduced curve in $ {P^3}$ of arithmetic genus 1 is also smoothable.


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DOI: http://dx.doi.org/10.1090/S0002-9939-1987-0877026-0
PII: S 0002-9939(1987)0877026-0
Article copyright: © Copyright 1987 American Mathematical Society