2 papers
math.AG2025
Special divisors in special divisor classes on graphs
Karl Christ
As in algebraic geometry, an effective divisor class on a vertex-weighted graph is called special if also its residual class is effective. We study the question, when this is true…
math.AG2025
Clifford representatives via the uniform algebraic rank
Myrla Barbosa, Karl Christ, Margarida Melo
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 Ba…