3 papers
cs.SC2024
Algorithms for computing norms and characteristic polynomials on general Drinfeld modules
Xavier Caruso, Antoine Leudière
We provide two families of algorithms to compute characteristic polynomials of endomorphisms and norms of isogenies of Drinfeld modules. Our algorithms work for Drinfeld modules of…
math.NT2024
Algebraic solutions of linear differential equations: an arithmetic approach
Alin Bostan, Xavier Caruso, Julien Roques
Given a linear differential equation with coefficients in , an important question is to know whether its full space of solutions consists of algebraic functions, or…
math.AG2024
Algebraic Geometry codes in the sum-rank metric
Elena Berardini, Xavier Caruso
We introduce the first geometric construction of codes in the sum-rank metric, which we called linearized Algebraic Geometry codes, using quotients of the ring of Ore polynomials w…