Tokyo Journal of Mathematics
- Tokyo J. Math.
- Volume 38, Number 2 (2015), 339-352.
Asymptotically Bad Towers of Function Fields
In this paper we study general conditions to prove the infiniteness of the genus of certain towers of function fields over a perfect field. We show that many known examples of towers with infinite genus are particular cases of these conditions. In the case of tame towers we show that the infiniteness of their genus is actually equivalent to these conditions.
Tokyo J. Math., Volume 38, Number 2 (2015), 339-352.
First available in Project Euclid: 14 January 2016
Permanent link to this document
Digital Object Identifier
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Primary: 11R58: Arithmetic theory of algebraic function fields [See also 14-XX]
Secondary: 11G20: Curves over finite and local fields [See also 14H25] 14H05: Algebraic functions; function fields [See also 11R58]
CHARA, Maria de los Angeles; TOLEDANO, Ricardo. Asymptotically Bad Towers of Function Fields. Tokyo J. Math. 38 (2015), no. 2, 339--352. doi:10.3836/tjm/1452806044. https://projecteuclid.org/euclid.tjm/1452806044