3 papers
math.AG2026
On intersections of fields of rational functions
Fedor Pakovich
Let and be rational functions of degree at least two with complex coefficients such that . We study the problem of determining when the field…
math.AC2025
Functional equations in formal power series
Fedor Pakovich
Let be an algebraically closed field of characteristic zero, and the ring of formal power series over . In this paper, we study equations in the semigroup $z^2k[[z]…
math.CV2025
Lower bounds for genera of fiber products
Fedor Pakovich
We give lower bounds for genera of components of fiber products of holomorphic maps between compact Riemann surfaces, extending results on genera of components of algebraic curves…