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math.NT2026
On Solvable Automorphism Groups of Function Fields over Finite Fields
Henning Stichtenoth, Chaoping Xing, Zugan Xing
The classical Hurwitz bound gives a linear upper bound in terms of the genus for automorphism groups of algebraic function fields in characteristic zero, whereas algebraic function…
math.NT2011
On the Invariants of Towers of Function Fields over Finite Fields
Florian Hess, Henning Stichtenoth, Seher Tutdere
We consider a tower of function fields F=(F_n)_{n\geq 0} over a finite field F_q and a finite extension E/F_0 such that the sequence \mathcal{E):=(EF_n)_{n\goq 0} is a tower over t…