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Matematicheskie Zametki, 1972, Volume 11, Issue 1, Pages 27–32 (Mi mzm9760)  
The Castelnuovo criterion of rationality

G. Kurke

Institute of Pure Mathematics of the German Academy of Sciences
Full-text PDF (833 kB)
Abstract: A new proof is provided for the rationality criterion for algebraic surfaces over an arbitrary base field, using $l$-adic cohomologies.
Received: 20.07.1970
English version:
Mathematical Notes, 1972, Volume 11, Issue 1, Pages 20–23
DOI: https://doi.org/10.1007/BF01366911
Bibliographic databases:
Document Type: Article
UDC: 513.6
Language: Russian
Citation: G. Kurke, “The Castelnuovo criterion of rationality”, Mat. Zametki, 11:1 (1972), 27–32; Math. Notes, 11:1 (1972), 20–23
Citation in format AMSBIB
\Bibitem{Kur72}
\by G.~Kurke
\paper The Castelnuovo criterion of rationality
\jour Mat. Zametki
\yr 1972
\vol 11
\issue 1
\pages 27--32
\mathnet{http://mi.mathnet.ru/mzm9760}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=306203}
\zmath{https://zbmath.org/?q=an:0237.14020|0233.14013}
\transl
\jour Math. Notes
\yr 1972
\vol 11
\issue 1
\pages 20--23
\crossref{https://doi.org/10.1007/BF01366911}
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