Clifford representatives via the uniform algebraic rank
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 …
show that it lies between Caporaso's algebraic rank and the combinatorial rank of Baker and …
On -reduced, uniform and Clifford representatives in chip-firing classes
K Christ - arXiv preprint arXiv:2312.13207, 2023 - arxiv.org
An effective divisor class on a finite graph is called special if also its residual class is
effective. We study the question, when this is true already on the level of divisors; that is …
effective. We study the question, when this is true already on the level of divisors; that is …
On the rank of general linear series on stable curves
K Christ - Mathematische Annalen, 2024 - Springer
We study the dimension of loci of special line bundles on stable curves and for a fixed
semistable multidegree. In case of total degree d= g-1, we characterize when the effective …
semistable multidegree. In case of total degree d= g-1, we characterize when the effective …