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Plane projections of a smooth space curve. (English) Zbl 0876.14020

Pragacz, Piotr (ed.), Parameter spaces: enumerative geometry, algebra and combinatorics. Proceedings of the Banach Center conference, Warsaw, Poland, February 1994. Warszawa: Inst. of Math., Polish Acad. of Sciences, Banach Cent. Publ. 36, 89-110 (1996).
This paper can be seen as a continuation of the paper by T. Johnson [Trans. Am. Math. Soc. 313, No. 1, 205-220 (1989; Zbl 0701.14046)]. It deals with the problem of describing the strata of \(\mathbb{P}^3 \backslash C\) \((C\) is a smooth non-degenerate integral curve over an algebraically closed field of characteristic zero), such that the number and types of singularities of each \(C_R\) \((C_R\) is the projection of \(C\) from \(R\in \mathbb{P}^3 \backslash C\) onto the linear system on \(C\) induced by the hyperplanes through \(R)\) are essentially the same when \(R\) varies in each stratum.
For the entire collection see [Zbl 0840.00023].

MSC:

14H50 Plane and space curves
14N05 Projective techniques in algebraic geometry

Citations:

Zbl 0701.14046
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