## Curves with maximally computed Clifford index.(English)Zbl 1470.14058

Summary: We say that a curve $$X$$ of genus $$g$$ has maximally computed Clifford index if the Clifford index $$c$$ of $$X$$ is, for $$c>2$$, computed by a linear series of the maximum possible degree $$d < g$$; then $$d = 2c+3$$ resp. $$d = 2c+4$$ for odd resp. even $$c$$. For odd $$c$$ such curves have been studied in [D. Eisenbud et al., Compos. Math. 72, No. 2, 173–204 (1989; Zbl 0703.14020)]. In this paper we analyze if/how far analoguous results hold for such curves of even Clifford index $$c$$.

### MSC:

 14H45 Special algebraic curves and curves of low genus 14H51 Special divisors on curves (gonality, Brill-Noether theory)

Zbl 0703.14020
Full Text:

### References:

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