3 papers
math.NT2025
Zeta functions of abstract isogeny graphs and modular curves
Jun Bo Lau, Travis Morrison, Eli Orvis +2
We introduce a ``non-orientable'' variation of Serre's definition of a graph, which we call an abstract isogeny graph. These objects capture the combinatorics of the graphs $G(p,\e…
math.AG2024
A census of genus 6 curves over
Yongyuan Huang, Kiran S. Kedlaya, Jun Bo Lau
We compile a complete list of isomorphism class representatives of curves of genus 6 over . We use explicit descriptions of canonical curves in each stratum of the Br…
math.NT2024
Coleman Integration on Modular Curves
Mingjie Chen, Kiran Kedlaya, Jun Bo Lau
Coleman integrals is a major tool in the explicit arithmetic of algebraic varieties, notably in the study of rational points on curves. One of the inputs to compute Coleman integra…