Displaying similar documents to “On the hypersurfaces containing a general projective curve”

Curves on a smooth quadric.

S. Giuffrida, R. Maggioni (2003)

Collectanea Mathematica

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We associate to every curve on a smooth quadric a polynomial equation that defines it as a divisor; this polynomial is defined through a matrix. In this way we can study several properties of these curves; in particular we can give a geometrical meaning to the rank of the matrix which defines the curve.

Halphen gaps and good space curves

Jan O. Kleppe (1998)

Bollettino dell'Unione Matematica Italiana

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In questo articolo dimostriamo l'esistenza di curve "buone e generali" di grado d e genere g che giacciono su di una superfice liscia di grado s , per ogni s ≥ 4 , d ≥ s 2 , e g in un certo intervallo vicino al genere massimo.

On the osculatory behaviour of higher dimensional projective varieties.

Edoardo Ballico, Claudio Fontanari (2004)

Collectanea Mathematica

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We explore the geometry of the osculating spaces to projective verieties of arbitrary dimension. In particular, we classify varieties having very degenerate higher order osculating spaces and we determine mild conditions for the existence of inflectionary points.