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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