We collect some facts about Drinfeld modular curves for a polynomial ring F q [T ] over a finite field F q . These include formulas for the genera, the numbers of cusps and elliptic points, descriptions of the function fields and fields of definition, and other rationality properties. We then show t
Some arithmetic properties of order-sequences of algebraic curves
β Scribed by Arnaldo Garcia
- Publisher
- Elsevier Science
- Year
- 1993
- Tongue
- English
- Weight
- 587 KB
- Volume
- 85
- Category
- Article
- ISSN
- 0022-4049
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
## Abstract In this paper, we discuss uniform versions of some axioms of second order arithmetic in the context of higher order arithmetic. We prove that uniform versions of weak weak KΓΆnig's lemma WWKL and Ξ£^0^~1~ separation are equivalent to (β^2^) over a suitable base theory of higher order arit
We show that if a transformation \(T\) on the unit interval is surjective, piecewise continuously differentiable, and uniform distribution preserving, then every u.d. sequence \(\bmod 1\) is the image of some other u.d. sequence \(\bmod 1\) induced by \(T\). As a consequence, we obtain that every u.