No rational nonsingular quartic curve \({\mathcal C}_ 4\subset {\mathbb{P}}^ 3\) can be set-theoretic complete intersection on a cubic surface
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Publication:919051
zbMath0706.14031MaRDI QIDQ919051
Pier Carlo Craighero, Remo Gattazzo
Publication date: 1989
Published in: Rendiconti del Seminario Matematico della Università di Padova (Search for Journal in Brave)
Full work available at URL: http://www.numdam.org/item?id=RSMUP_1989__81__171_0
Rational and unirational varieties (14M20) Plane and space curves (14H50) Complete intersections (14M10)
Related Items (3)
On set theoretic complete intersections in \({\mathbb{P}}^ 3\) ⋮ Set-theoretic generators of rational space curves ⋮ A criterion for a rational projectively normal variety to be almost- factorial
Cites Work
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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
- Space curves which are the intersection of a cone with another surface
- Una osservazione sulla curva di Cremona di \(P^ 3_ k\) \(C:\{\lambda \mu^ 3,\lambda^ 3\mu,\lambda^ 4,\mu^ 4\}\)
- Some properties of complete intersections in “good” projective varieties
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