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Matematicheskie Zametki, 2008, Volume 83, Issue 2, Pages 273–285
DOI: https://doi.org/10.4213/mzm4419 (Mi mzm4419) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Zeta Functions of Bielliptic Surfaces over Finite Fields

S. Yu. Rybakov

Independent University of Moscow
Full-text PDF (521 kB) Citations (2)
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DOI: https://doi.org/10.4213/mzm4419
Abstract: Let $S$ be a bielliptic surface over a finite field, and let the elliptic curve $B$ be the image of the Albanese mapping $S\to B$. In this case, the zeta function of the surface is equal to the zeta function of the direct product $\mathbb P^1\times B$. A classification of the possible zeta functions of bielliptic surfaces is also presented in the paper.
Keywords: variety over a finite field, zeta function, bielliptic surface, Albanese mapping, elliptic curve, étale cohomology, Frobenius morphism, isogeny class.
Received: 03.04.2007
English version:
Mathematical Notes, 2008, Volume 83, Issue 2, Pages 246–256
DOI: https://doi.org/10.1134/S0001434608010264
Bibliographic databases:
UDC: 512.754
Language: Russian
Citation: S. Yu. Rybakov, “Zeta Functions of Bielliptic Surfaces over Finite Fields”, Mat. Zametki, 83:2 (2008), 273–285; Math. Notes, 83:2 (2008), 246–256
Citation in format AMSBIB
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математические заметки Mathematical Notes
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