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

zbMath0613.14025MaRDI QIDQ1088744

Remo Gattazzo, Pier Carlo Craighero

Publication date: 1986

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_1986__76__177_0

zbMATH Keywords

Cremona quartic curvenot set-theoretically a complete intersection

Mathematics Subject Classification ID

Special algebraic curves and curves of low genus (14H45) Complete intersections (14M10) Projective techniques in algebraic geometry (14N05)

Related Items (2)

No rational nonsingular quartic curve \({\mathcal C}_ 4\subset {\mathbb{P}}^ 3\) can be set-theoretic complete intersection on a cubic surface ⋮ Set-theoretic generators of rational space curves

Cites Work

• Una osservazione sulla curva di Cremona di \(P^ 3_ k\) \(C:\{\lambda \mu^ 3,\lambda^ 3\mu,\lambda^ 4,\mu^ 4\}\)

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