Euclidean algorithm and Kummer covers with many points.
Garzón, Alvaro (2003)
Revista Colombiana de Matemáticas
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Garzón, Alvaro (2003)
Revista Colombiana de Matemáticas
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O'Keefe, Christine M., Thas, J.A. (1996)
Bulletin of the Belgian Mathematical Society - Simon Stevin
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Aleksandar T. Lipkovski (1997)
Zbornik Radova
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Fedor Bogomolov, Viktor Kulikov (2013)
Open Mathematics
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The article contains a new proof that the Hilbert scheme of irreducible surfaces of degree m in ℙm+1 is irreducible except m = 4. In the case m = 4 the Hilbert scheme consists of two irreducible components explicitly described in the article. The main idea of our approach is to use the proof of Chisini conjecture [Kulikov Vik.S., On Chisini’s conjecture II, Izv. Math., 2008, 72(5), 901–913 (in Russian)] for coverings of projective plane branched in a special class of rational curves. ...
Serge Lang (1960)
Publications Mathématiques de l'IHÉS
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J. P. Murre (1972)
Compositio Mathematica
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Aguglia, Angela, Giuzzi, Luca (2008)
The Electronic Journal of Combinatorics [electronic only]
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A. Alzati, M. Bertolini (1990)
Rendiconti del Seminario Matematico della Università di Padova
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Sheldon Katz (1986)
Compositio Mathematica
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Blokhuis, A. (1994)
Bulletin of the Belgian Mathematical Society - Simon Stevin
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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.