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No rational nonsingular quartic curve $${\mathcal C}_ 4\subset {\mathbb{P}}^ 3$$ can be set-theoretic complete intersection on a cubic surface. (English)Zbl 0706.14031

Reviewer: M.Herrmann
MSC:  14M10 14H50 14M20
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The curve $${\tilde{\mathcal C}}_ 4=(\lambda^ 4,\lambda^ 3\mu,\lambda\mu^ 3,\mu^ 4)\subset {\mathbb{P}}^ 3_ k$$, is not set- theoretic complete intersection of two quartic surfaces. (English)Zbl 0613.14025

Reviewer: Ngo Viet Trung
MSC:  14H45 14N05 14M10
Full Text: