3 papers
math.AG2026
Differential Goppa Codes
David González González, Ángel Luis Muñoz Castañeda, Luis Manuel Navas Vicente
Rosenbloom and Tsfasman, in their foundational work on the -metric, introduced algebraic-geometric codes defined by multiple points on a smooth projective curve . This constr…
math.RA2025
Characterization of subfields of adelic algebras by a product formula
Luis Manuel Navas Vicente, Francisco J. Plaza Martin
We consider projective, irreducible, non-singular curves over an algebraically closed field $\k$. A cover of such curves corresponds to an extension of their functi…
math.AG2023
Kummer theory over the geometric adeles of an algebraic curve
Luis Manuel Navas Vicente, Francisco J. Plaza Martín, Álvaro Serrano Holgado
Our goal is to give a purely algebraic characterization of finite abelian Galois covers of a complete, irreducible, non-singular curve over an algebraically closed field $\k$.…