3 papers
math.AG2026
A Riemann-Roch theorem for Frobenius quotients
Matthew Dupraz, Andreas Gross, Leonid Monin
We construct two families of commutative Frobenius rings: discrete and continuous Frobenius quotients , resp. , which are defined as the quotients of shift, resp. differe…
math.AG2025
Tropical linear series and matroids
Chih-Wei Chang, Matthew Dupraz, Hernan Iriarte +4
We study a notion of tropical linear series on metric graphs that combines two essential properties of tropicalizations of linear series on algebraic curves: the Baker-Norine rank…
math.AG2025
Tropical linear systems and the realizability problem
Matthew Dupraz
This thesis delves into the geometry of abstract tropical curves, exploring their complete linear system and associated tropical submodules. We establish a lower bound on the dimen…