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The Tate conjecture for powers of ordinary cubic fourfolds over finite fields

โœ Scribed by Yuri G Zarhin

Publisher
Elsevier Science
Year
2004
Tongue
English
Weight
274 KB
Volume
108
Category
Article
ISSN
0022-314X

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โœ Alp Bassa; Henning Stichtenoth ๐Ÿ“‚ Article ๐Ÿ“… 2007 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 247 KB

Recently Bezerra, Garcia and Stichtenoth constructed an explicit tower F = (F n ) n 0 of function fields over a finite field F q 3 , whose limit ฮป(F ) = lim nโ†’โˆž N(F n )/g(F n ) attains the Zink bound ฮป(F ) 2(q 2 -1)/(q + 2). Their proof is rather long and very technical. In this paper we replace the