This article is cited in 10 papers

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

S. Yu. Rybakov

Independent University of Moscow

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.

MSC: 11R58, 14G15, 11M38, 14G05

Received: October 1, 2005

Language: English

DOI: 10.17323/1609-4514-2005-5-4-919-926

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