Over all non-prime finite fields, we construct some recursive towers of function fields with many rational places. Thus we obtain a substantial improvement on all known lower bounds for Ihara’s quantity A(ℓ), for ℓ = pn with p prime and n > 3 odd. We relate the explicit equations to Drinfeld modular varieties.
|Journal||Moscow Mathematical Journal|
|Publication status||Published - 2015|
- Curves with many points
- Towers of function fields
- Rational places
- Ihara’s constant