Name
Abstract | ||
|---|---|---|
We construct a tower of function fields F-0 subset of F-1 subset of... over a finite field such that every place of every F-i ramifies in the tower and lim genus(F-i)/[F-i : F-0] < infinity. We also construct a tower in which every place ramifies and lim NFi/[F-i : F-0] > 0, where N-Fi is the number of degree-1 places of Fi. These towers answer questions posed by Stichtenoth at Fq7. |
Year | DOI | Venue |
|---|---|---|
2003 | 10.1007/978-3-540-24633-6_12 | CONTEMPORARY MATHEMATICS SERIES |
Keywords | Field | DocType |
finite field,algebraic geometry,number theory | Discrete mathematics,Tower,Finite field,Function field,Conjugacy class,Rational point,Ramification,Mathematics | Conference |
Volume | ISSN | Citations |
2948 | 0302-9743 | 1 |
PageRank | References | Authors |
0.45 | 3 | 3 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Iwan M. Duursma | 1 | 279 | 26.85 |
| Bjorn Poonen | 2 | 77 | 16.89 |
| Michael Zieve | 3 | 7 | 1.23 |