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Moscow Mathematical Journal, 2005, Volume 5, Number 4, Pages 919–926
DOI: https://doi.org/10.17323/1609-4514-2005-5-4-919-926 (Mi mmj228) 		 
This article is cited in 9 scientific papers (total in 9 papers)

Zeta functions of conic bundles and Del Pezzo surfaces of degree 4 over finite fields

S. Yu. Rybakov

Independent University of Moscow
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DOI: https://doi.org/10.17323/1609-4514-2005-5-4-919-926
Abstract: First of all, we construct a conic bundle with a prescribed zeta function. This is a key step to classify Del Pezzo surfaces of degree 4 over a finite field. In particular, we see that the zeta function determines the combinatorics of a Del Pezzo surface.
Key words and phrases: Zeta function, conic bundle, surface over a finite field, Del Pezzo surface.
Received: October 1, 2005
Bibliographic databases:
MSC: 11R58, 14G15, 11M38, 14G05
Language: English
Citation: S. Yu. Rybakov, “Zeta functions of conic bundles and Del Pezzo surfaces of degree 4 over finite fields”, Mosc. Math. J., 5:4 (2005), 919–926
Citation in format AMSBIB
\Bibitem{Ryb05}
\by S.~Yu.~Rybakov
\paper Zeta functions of conic bundles and Del Pezzo surfaces of degree~4 over finite fields
\jour Mosc. Math.~J.
\yr 2005
\vol 5
\issue 4
\pages 919--926
\mathnet{http://mi.mathnet.ru/mmj228}
\crossref{https://doi.org/10.17323/1609-4514-2005-5-4-919-926}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2266465}
\zmath{https://zbmath.org/?q=an:1130.14021}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000208595600011}
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    • This publication is cited in the following 9 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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