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Zbl 0790.14029
Ballico, E.
On secant spaces to projective curves. (English)
[J] Compos. Math. 85, No.3, 311-313 (1993). ISSN 0010-437X; ISSN 1570-5846/e

In this note the author answers a question raised by {\it M. Coppens} and {\it G. Martens} [Compos. Math. 78, No. 2, 193-212 (1991; Zbl 0741.14035)]. More precisely, he shows that: Given a smooth complete connected curve $C$, $T$ a $g\sp r\sb d$ on $C$ which is not a complete linear system, and $V\sp n\sb e(T)$ consisting of the divisors on the symmetric product $C\sp{(e)}$ that impose at most $n+1$ conditions on $T$ then, assuming the bound $(n+1-e)(r-n)+e\ge 0$, the author shows that $V\sp n\sb e(T)$ is non-empty.
[A.Papantonopoulou (Ewing Township)]

MSC 2000:: *14H50 Space curves
14N05 Projective techniques (classical algebraic geometry)
14C20 Divisors, linear systems, invertible sheaves

Keywords: connected curve; linear system; divisors

Citations: Zbl 0741.14035

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