✦ LIBER ✦
Pascal’s Triangle, Normal Rational Curves, and their Invariant Subspaces
✍ Scribed by Johannes Gmainer
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 133 KB
- Volume
- 22
- Category
- Article
- ISSN
- 0195-6698
No coin nor oath required. For personal study only.
✦ Synopsis
Each normal rational curve in P G(n, F) admits a group P L( ) of automorphic collineations. It is well known that for characteristic zero only the empty and the entire subspace are P L( )invariant. In the case of characteristic p > 0 there may be further invariant subspaces. For #F ≥ n+2, we give a construction of all P L( )-invariant subspaces. It turns out that the corresponding lattice is totally ordered in special cases only.