Curves with maximally computed Clifford index

Abstract

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 [6]. In this paper we analyze if/how far analoguous results hold for such curves of even Clifford index $c$.