Geodesic
Some remarks on Set-theoretic Intersection Curves in \( \mathbb{P}^{3} \)
Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni, Série 9, Tome 7 (1996) no. 1, pp. 41-46

Voir la notice de l'article provenant de la source Biblioteca Digitale Italiana di Matematica

Motivated by the notion of Seshadri-ampleness introduced in [11], we conjecture that the genus and the degree of a smooth set-theoretic intersection \( C \subset \mathbb{P}^{3} \) should satisfy a certain inequality. The conjecture is verified for various classes of set-theoretic complete intersections. 
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     author = {Paoletti, Roberto},
     title = {Some remarks on {Set-theoretic} {Intersection} {Curves} in \( {\mathbb{P}^{3}} \)},
     journal = {Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni},
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     publisher = {mathdoc},
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     year = {1996},
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     mrnumber = {MR1437650},
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Paoletti, Roberto. Some remarks on Set-theoretic Intersection Curves in \( \mathbb{P}^{3} \). Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni, Série 9, Tome 7 (1996) no. 1, pp. 41-46. http://geodesic.mathdoc.fr/item/RLIN_1996_9_7_1_a3/