Optimal bound for the number of -curves on extremal rational surfaces.
Lahyane, Mustapha (2002)
International Journal of Mathematics and Mathematical Sciences
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Lahyane, Mustapha (2002)
International Journal of Mathematics and Mathematical Sciences
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Marco Manetti (1993)
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Journal für die reine und angewandte Mathematik
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Zhenbo Qin (1993)
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Voica, Cristian (2001)
Analele Ştiinţifice ale Universităţii “Ovidius" Constanţa. Seria: Matematică
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Fumio Sakai (1984)
Mathematische Annalen
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Remo Gattazzo (1988)
Rendiconti del Seminario Matematico della Università di Padova
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N. Mohan Kumar (1981/82)
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Stéphane Gaubert, Ricardo Katz (2004)
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We introduce rational semimodules over semirings whose addition is idempotent, like the max-plus semiring, in order to extend the geometric approach of linear control to discrete event systems. We say that a subsemimodule of the free semimodule over a semiring is rational if it has a generating family that is a rational subset of , being thought of as a monoid under the entrywise product. We show that for various semirings of max-plus type whose elements are integers, rational...
M.L. Fania (1986)
Mathematische Annalen
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J. Achari (1978)
Matematički Vesnik
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M. R. Gonzalez-Dorrego (2006)
Annales Polonici Mathematici
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Let k be an algebraically closed field of characteristic 0. Let C be an irreducible nonsingular curve in ℙⁿ such that 3C = S ∩ F, where S is a hypersurface and F is a surface in ℙⁿ and F has rational triple points. We classify the rational triple points through which such a curve C can pass (Theorem 1.8), and give an example (1.12). We only consider reduced and irreducible surfaces.