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.
| Original language | American English |
|---|---|
| Journal | Journal of Pure and Applied Algebra |
| State | Published - 2007 |
Disciplines
- Mathematics