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Curves of \(g_ d^ 1\)’s. (English) Zbl 0601.14020

Let \(C\) be a smooth complete curve of odd genus \(2n+1\). The author computes the genus of the curve \(X\) consisting of all linear systems of degree \(n+2\) and dimension \(1\), provided \(C\) is general enough in the sense of moduli.

MSC:

14H10 Families, moduli of curves (algebraic)
14C20 Divisors, linear systems, invertible sheaves
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References:

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