O čtrnáctém Hilbertově problému
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Václav Vilhelm (1974)
Pokroky matematiky, fyziky a astronomie
Jan Čižmár (1974)
Pokroky matematiky, fyziky a astronomie
Brendon Lasell, Mohan Ramachandran (1996)
Annales scientifiques de l'École Normale Supérieure
Hirokazu Nasu (2010)
Annales de l’institut Fourier
We study the Hilbert scheme of smooth connected curves on a smooth del Pezzo -fold . We prove that any degenerate curve , i.e. any curve contained in a smooth hyperplane section of , does not deform to a non-degenerate curve if the following two conditions are satisfied: (i) and (ii) for every line on such that , the normal bundle is trivial (i.e. ). As a consequence, we prove an analogue (for ) of a conjecture of J. O. Kleppe, which is concerned with non-reduced components...
E. Ballico, M. Beltrametti (1988)
Manuscripta mathematica
Geir Ellingsrud, Stein Arild Stromme (1988)
Inventiones mathematicae
Jaroslaw A. Wisniewski (1990)
Manuscripta mathematica
Richard M. Hain (1986)
Annales scientifiques de l'École Normale Supérieure
C.P. Ramanujam (1973)
Inventiones mathematicae
Umberto Bartocci, Lucio Guerra (1987)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
In the present paper, it is established in any characteristic the validity of a classical theorem of Enriques', stating the linearity of any algebraic system of divisors on a projective variety, which has index 1 and whose generic element is irreducible, as soon as its dimension is at least 2.
G. Martens, C. Keem, S. Kim (1990)
Journal für die reine und angewandte Mathematik
Julien Sebag (2010)
Annales de la faculté des sciences de Toulouse Mathématiques
In this article, we introduce a special class of non complete webs, the NN-webs. We also study the algebraic and geometric properties of these webs.
L. Gruson, C. Peskine, R. Lazarsfeld (1983)
Inventiones mathematicae
Xian Wu (1990)
Mathematische Annalen
Jürgen Neukirch, Pilar Báyer (1981)
Mathematische Annalen
Geng Xu (1996)
Manuscripta mathematica
Morihiko Saito (1993)
Mathematische Annalen
Andrew John Sommese, Joseph Lipman (1985)
Journal für die reine und angewandte Mathematik
Ernst Kani (1984)
Journal für die reine und angewandte Mathematik
Charles H. Walter, Alastair D. King (1995)
Journal für die reine und angewandte Mathematik
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