Hermitian algebraic functions were introduced by D. Catlin and J. D'Angelo under the name of "globalizable metrics". Catlin and D'Angelo proved that any Hermitian algebraic function without nontrivial ...

Algebraic structures are fundamental mathematical entities defined by sets equipped with operations that satisfy specific axioms, such as groups, rings, and fields. Function spaces, by contrast, are ...

Let 𝐾 be a number field with algebraic closure K¯, and let 𝑆 be a finite set of places of 𝐾 containing all the infinite ones. Let Γ₀ be a finitely generated subgroup of Gm(K¯), and let Γ⊂Gm(K¯) be ...