Article
On the Geometry of Generalised Quadrics
Journal of Pure and Applied Algebra
(2007)
Abstract
Let {f0, · · · , fn; g0, · · · , gn} be a regular sequence in P 2n+1 and suppose that Q = ∑^n i=0 figi is a homogeneous polynomial. We shall refer to the hypersurface X defined by Q as a generalised quadric. In this note, we prove that generalised quadrics in P^(2n+1) for n ≥ 1 are reduced.
Disciplines
Publication Date
2007
Citation Information
Ravindra Girivaru, N Mohan Kumar and A P Rao. "On the Geometry of Generalised Quadrics" Journal of Pure and Applied Algebra Iss. 3 (2007) p. 1 - 8 Available at: http://works.bepress.com/ravindra-girivaru/21/