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math.AG2014
A spectral lower bound for the divisorial gonality of metric graphs
Omid Amini, Janne Kool
Let be a compact metric graph, and denote by the Laplace operator on with the first non-trivial eigenvalue . We prove the following Yang-Li-Yau type inequality on…
math.AG2012★ 2 cited
A combinatorial Li-Yau inequality and rational points on curves
Gunther Cornelissen, Fumiharu Kato, Janne Kool
We present a method to control gonality of nonarchimedean curves based on graph theory. Let k denote a complete nonarchimedean valued field. We first prove a lower bound for the go…
math.AG2011
Measure-theoretic rigidity for Mumford curves
Gunther Cornelissen, Janne Kool
One can describe isomorphism of two compact hyperbolic Riemann surfaces of the same genus by a measure-theoretic property: a chosen isomorphism of their fundamental groups correspo…