No rational nonsingular quartic curve 𝒞 4 ⊂ℙ 3 can be set-theoretic complete intersection on a cubic surface
Rendiconti del Seminario Matematico della Università di Padova, Tome 81 (1989), pp. 171-192 
@article{RSMUP_1989__81__171_0,
     author = {Craighero, P. C. and Gattazzo, R.},
     title = {No rational nonsingular quartic curve $\mathcal {C}_4 \subset \mathbb {P}^3$ can be set-theoretic complete intersection on a cubic surface},
     journal = {Rendiconti del Seminario Matematico della Universit\`a di Padova},
     pages = {171--192},
     year = {1989},
     publisher = {Seminario Matematico of the University of Padua},
     volume = {81},
     zbl = {0706.14031},
     language = {en},
     url = {https://www.numdam.org/item/RSMUP_1989__81__171_0/}
}
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Craighero, P. C.; Gattazzo, R. No rational nonsingular quartic curve $\mathcal {C}_4 \subset \mathbb {P}^3$ can be set-theoretic complete intersection on a cubic surface. Rendiconti del Seminario Matematico della Università di Padova, Tome 81 (1989), pp. 171-192. https://www.numdam.org/item/RSMUP_1989__81__171_0/

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[C-G] P.C. Craighero - R. Gattazzo, The curve C = (λ4, λ3μ, λμ3, μ4) ⊂ P3 is not set-theoretic complete intersection of two quartic surfaces, Rend. Sem. Mat. Univ. Padova, 76 (1986), pp. 177-200. | Zbl | Numdam

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