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Admissible invariants of genus 3 curves
(Springer New York LLC, 2015)
Several invariants of polarized metrized graphs and their applications in Arithmetic Geometry are studied recently. In this paper, we explicitly calculated these admissible invariants for all curves of genus 3. We find the ...
Families of Metrized Graphs with Small Tau Constants
(SPRINGER BASEL AGPICASSOPLATZ 4, BASEL 4052, SWITZERLAND, 2016)
Baker and Rumely's tau lower bound conjecture claims that if the tau constant of a metrized graph is divided by its total length, this ratio must be bounded below by a positive constant for all metrized graphs. We construct ...