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math.AG2023
Tropical Weierstrass points and Weierstrass weights
Omid Amini, Lucas Gierczak, Harry Richman
In this paper, we study tropical Weierstrass points. These are the analogues for tropical curves of ramification points of line bundles on algebraic curves. For a divisor on a trop…
math.AG2021★ 1 cited
The tropical Manin-Mumford conjecture
David Harry Richman
In analogy with the Manin-Mumford conjecture for algebraic curves, one may ask how a metric graph under the Abel-Jacobi embedding intersects torsion points of its Jacobian. We show…
math.AG2018★ 4 cited
The distribution of Weierstrass points on a tropical curve
David Harry Richman
We show that on a metric graph of genus , a divisor of degree generically has Weierstrass points. For a sequence of generic divisors on a metric graph whose degre…