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math.AG2025
Continuous Linear Series
Eduardo Esteves, Antonio Nigro, Pedro Rizzo
We parameterize by a fine moduli space all degenerations of linear series to a singular curve which is the union of two smooth components meeting transversally at a single point. F…
math.AG2024
Limit canonical series
Omid Amini, Eduardo Esteves, Eduardo Garcez
We describe the limits of canonical series along families of curves degenerating to a nodal curve which is general for its topology, in the weak sense that the branches over nodes…
math.AG2024
Tropicalization of linear series and tilings by polymatroids
Omid Amini, Eduardo Esteves
We show that tropicalization of linear series on curves gives rise to two-parameter families of tilings by polymatroids, with one parameter arising from the theory of divisors on t…