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math.AG2025
Relating Different Definitions of Linear Series on Tropical Curves
Eric Burkholder
We investigate relationships among several recent notions of linear series on tropical curves, including tropical linear series, strongly recursive tropical linear series of Farkas…
math.CO2025
Refined Brill-Noether Theory for Complete Graphs
Haruku Aono, Eric Burkholder, Owen Craig +3
The divisor theory of the complete graph is in many ways similar to that of a plane curve of degree . We compute the splitting types of all divisors on the complete graph…