97 citations · 194 across the 19 of their papers we have counts for
23 papers
Tropical trigonal curves
Margarida Melo, Angelina Zheng
We prove that the existence of a divisor of degree and Baker-Norine rank at least on a -edge connected tropical curve is equivalent to the existence of a non-degenerate…
Clifford representatives via the uniform algebraic rank
Myrla Barbosa, Karl Christ, Margarida Melo
In this paper, we introduce the uniform algebraic rank of a divisor class on a finite graph. We show that it lies between Caporaso's algebraic rank and the combinatorial rank of Ba…
Tropicalization of the universal Jacobian
Margarida Melo, Samouil Molcho, Martin Ulirsch +1
In this article we provide a stack-theoretic framework to study the universal tropical Jacobian over the moduli space of tropical curves. We develop two approaches to the process o…
On the Top-Weight Rational Cohomology of
Madeline Brandt, Juliette Bruce, Melody Chan +3
We compute the top-weight rational cohomology of for , , and , and we give some vanishing results for the top-weight rational cohomology of and $ A_{10…
Theta characteristics on tropical curves
Lucia Caporaso, Margarida Melo, Marco Pacini
We give an explicit description of theta-characteristics on tropical curves and characterize the effective ones. We construct the moduli space for tropical theta-characteristics of…
Tropicalizing the moduli space of spin curves
Lucia Caporaso, Margarida Melo, Marco Pacini
We study the tropicalization of the moduli space of algebraic spin curves, exhibit its combinatorial stratification and prove that the strata are irreducible. We construct the modu…