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A Priori Bounds of Severi Type for Cohomological Hilbert-Functions

โœ Scribed by M. Brodmann

Publisher
Elsevier Science
Year
1993
Tongue
English
Weight
787 KB
Volume
155
Category
Article
ISSN
0021-8693

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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.