Curves of every genus with many points, II: Asymptotically good families

Author:

Elkies Noam D.,Howe Everett W.,Kresch Andrew,Poonen Bjorn,Wetherell Joseph L.,Zieve Michael E.

Publisher

Duke University Press

Subject

General Mathematics

Reference32 articles.

1. J. A. Csirik, J. L. Wetherell, and M. E. Zieve, On the genera of $X_0(N)$, preprint., to appear in J. Number Theory.

2. N. D. Elkies, “Explicit modular towers” in Proceedings of the Thirty-Fifth Annual Allerton Conference on Communication, Control and Computing (Urbana, Ill., 1997), ed. T. Başar and A. Vardy, Univ. of Illinois at Urbana-Champaign, 1998, 23–32..

3. –. –. –. –., “Explicit towers of Drinfeld modular curves” in European Congress of Mathematics, Vol. II (Barcelona, 2000), ed. C. Casacuberta, R. M. Miró-Roig, J. Verdera, and S. Xambó-Descamps, Progr. Math. 202, Birkhauser, Basel, 2001, 189–198.

4. A. Garcia and H. Stichtenoth, A tower of Artin-Schreier extensions of function fields attaining the Drinfeld-Vlăduţ bound, Invent. Math. 121 (1995), 211–222.

5. –. –. –. –., On the asymptotic behaviour of some towers of function fields over finite fields, J. Number Theory 61 (1996), 248–273.

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