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JOURNALS // Matematicheskie Zametki // Archive

Mat. 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

Abstract: A new proof is provided for the rationality criterion for algebraic surfaces over an arbitrary base field, using $l$-adic cohomologies.

UDC: 513.6

Received: 20.07.1970


 English version:
Mathematical Notes, 1972, 11:1, 20–23

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© Steklov Math. Inst. of RAS, 2026