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Hilbert Class Field Towers of Function Fields over Finite Fields and Lower Bounds for A(q)

✍ Scribed by Alexandre Temkine

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
184 KB
Volume
87
Category
Article
ISSN
0022-314X

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✦ Synopsis

We obtain lower bounds for the asymptotic number of rational points of smooth algebraic curves over finite fields. To do this we construct infinite Hilbert class field towers with good parameters. In this way we improve bounds of Serre, Perret, and Niederreiter and Xing.

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