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On the gonality of nodal curves. (English) Zbl 0716.14013
Author’s abstract: “Here we prove that for every $$n\geq 33$$ and every $$t\leq (n^ 2+3n)/6$$, the normalization Y of a general plane curve C of degree $$n$$ and with t nodes has no $$g^ 1_ b$$ with $$b<n-2$$ and only $$g^ 1_{n-2}$$ and $$g^ 1_{n-1}$$ induced by a pencil of lines through a point of C. Recently, M. Coppens and T. Kato have proved stronger results [cf. Manuscr. Math. 70, No.1, 5-25 (1990) and 71, No.3, 337-338 (1991)].”
Reviewer: J.Libicher

##### MSC:
 14H20 Singularities of curves, local rings 14C20 Divisors, linear systems, invertible sheaves
##### Keywords:
gonality of nodal curves
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