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

Kato, Takao; Martens, Gerriet

Osaka J. Math. 56, No. 2, 277-288 (2019).

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)

Citations:

Zbl 0703.14020

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