4 problems

Let $X\to B$ be a general family of genus $g$ stable curves whose general member has Clifford index $\mathfrak{c}$, and let $B$ be a general curve in $\overline{\mathcal D}^r_d$. C…

Higher-rank Mistretta–Stoppino conjecture. The following assertions hold: (i) $E$ is linearly (semi)stable; and (ii) $E$ is linearly (semi)stable if and only if $M_E$ is (semi)stab…

Let $X\subseteq \mathbf{P}^{g-1}$ be a non-hyperelliptic canonical curve of genus $g$. Its Clifford index is … Here $r(\varphi)$ is the dimension of the linear span of the image an…

Let $C$ be a smooth projective curve, and for each integer $n\geq3$ let $\gamma_n'$ denote the rank-$n$ Clifford index defined using semistable vector bundles, while $\gamma_1$ is…