Mathematics – Algebraic Geometry
Scientific paper
2010-09-03
Mathematics
Algebraic Geometry
23 pages, in french
Scientific paper
A classical result of Boole shows that, in characteristic 0, the set of singular degree d hypersurfaces in P^N is a divisor of degree (N+1)(d-1)^N in the projective space of all hypersurfaces. We give here analogous formulae for complete intersections in P^N of arbitrary codimension and degrees, in any characteristic. ----- Un resultat classique de Boole montre que, sur un corps de caracteristique 0, l'ensemble des hypersurfaces singulieres de degre d dans P^N est un diviseur de degre (N+1)(d-1)^N de l'espace projectif de toutes les hypersurfaces. On obtient ici des formules analogues pour des intersections completes de codimension et de degres quelconques dans P^N, en toute caracteristique.
No associations
LandOfFree
Degrés d'homogénéité de l'ensemble des intersections complètes singulières does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Degrés d'homogénéité de l'ensemble des intersections complètes singulières, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Degrés d'homogénéité de l'ensemble des intersections complètes singulières will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-685141