No rational nonsingular quartic curve can be set-theoretic complete intersection on a cubic surface
P. C. Craighero, R. Gattazzo (1989)
Rendiconti del Seminario Matematico della Università di Padova
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P. C. Craighero, R. Gattazzo (1989)
Rendiconti del Seminario Matematico della Università di Padova
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Păsărescu, Ovidiu (2001)
Analele Ştiinţifice ale Universităţii “Ovidius" Constanţa. Seria: Matematică
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Aleksandar T. Lipkovski (1997)
Zbornik Radova
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Daniel Pecker (1993)
Compositio Mathematica
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Luis Giraldo, Ignacio Sols (1998)
Collectanea Mathematica
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Let S be a ruled surface in P3 with no multiple generators. Let d and q be nonnegative integers. In this paper we determine which pairs (d,q) correspond to the degree and irregularity of a ruled surface, by considering these surfaces as curves in a smooth quadric hypersurface in P5.
Stevens, Jan (2001)
Documenta Mathematica
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Beardon, A.F., Ng, T.W. (2006)
Annales Academiae Scientiarum Fennicae. Mathematica
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Robin Hartshorne (2004)
Collectanea Mathematica
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We characterize the postulation character of arithmetically Gorenstein curves in P. We give conditions under which the curve can be realized in the form mH - K on some ACM surface. Finally, we complement a theorem by Watanabe by showing that any general arithmetically Gorenstein curve in P with arbitrary fixed postulation character can be obtained from a line by a series of ascending complete-intersection biliaisons.
Cragnolini, P., Oliverio, P.A. (2000)
Portugaliae Mathematica
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Marc N. Levine, V. Srinivas (1984)
Compositio Mathematica
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