A Clifford inequality for semistable curves

K Christ - Mathematische Zeitschrift, 2023 - Springer
Let X be a semistable curve and L a line bundle whose multidegree is uniform, ie, in the
range between those of the structure sheaf and the dualizing sheaf of X. We establish an …

Clifford representatives via the uniform algebraic rank

M Barbosa, K Christ, M Melo - arXiv preprint arXiv:2406.03987, 2024 - arxiv.org
In this paper, we introduce the uniform algebraic rank of a divisor class on a finite graph. We
show that it lies between Caporaso's algebraic rank and the combinatorial rank of Baker and …