On the Ideal of Veronesean Surfaces

Gimigliano, A. ; Lorenzini, A.

Canadian journal of mathematics, Tome 45 (1993) no. 4, pp. 758-777

Résumé

We consider the blowing up of P2 at s sufficiently general distinct points and its projective embedding by the linear system of the curves of a given degree through the points. We study the ideal of the resulting (Veronesean) surface and find that it can be described by two matrices of linear forms, in the sense that it is generated by the entries of the product matrix and the minors of complementary orders of the two matrices.By cutting the surface twice with general hyperplanes, we also obtain some information about the generation (or even the resolution) of certain classes of points in projective space.

Détail

DOI : 10.4153/CJM-1993-043-2

Mots-clés : 14J26, 14M05

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