A study of H. Martens' Theorem on chains of cycles

Marc Coppens

Let $\hat{I}“$ be a chain of cycles of genus $g$. Let $d$,$r$ be integers with $1\le r\le g-2$ and $2r\le d\le g-3+r$. Then $w_d^r(\hat{I}“)=d-2r$ implies $\hat{I}“$ is hyperelliptic. For eac…