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Une courbe irréductible non lissifiable dans $${\mathbb{R}}^ 3$$. (An irreducible nonsmoothable curve in $${\mathbb{P}}^ 3)$$. (French) Zbl 0591.14021
Example of an irreducible nonsmoothable curve in $${\mathbb{P}}^ 3$$ which is not the flat limit of a family of smooth curves. Previously the author and A. Hirschowitz [in Algebraic geometry, Proc. Conf., Sitges (Barcelona) 1983, Lect. Notes Math. 1124, 98-131 (1985; Zbl 0574.14028)] had exhibited examples of reducible nonsmoothable curves in $${\mathbb{P}}^ 3$$. J. Harris [”Curves in projective space”, Sém. Math. Supér. 85 (Univ. Montréal 1982; Zbl 0511.14014)] had given irreducible examples in $${\mathbb{P}}^ r$$, $$r\geq 10$$.
Reviewer: J.G.Timourian

##### MSC:
 14H45 Special algebraic curves and curves of low genus 14N05 Projective techniques in algebraic geometry