✦ LIBER ✦

A Note on Tamely Ramified Towers of Global Function Fields

✍ Scribed by Bruno Angles; Christian Maire

Publisher: Elsevier Science
Year: 2002
Tongue: English
Weight: 103 KB
Volume: 8
Category: Article
ISSN: 1071-5797
DOI: 10.1006/ffta.2000.0336

No coin nor oath required. For personal study only.

✦ Synopsis

By using rami"ed Hilbert Class Field Towers we improve lower asymptotic bounds of the number of rational points of smooth algebraic curves over % and % .

2002

Elsevier Science (USA)

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A Counterexample to Perret's Conjecture

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✍ Harald Niederreiter; Chaoping Xing 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 92 KB

We show by a counterexample that Perret's conjecture on in"nite class "eld towers for global function "elds is wrong, and so Perret's method of in"nite rami"ed class "eld towers in the asymptotic theory of global function "elds with many rational places breaks down.