Pascal's Triangle, Normal Rational Curves, and their Invariant Subspaces
نویسنده
چکیده
Each normal rational curve Γ in PG(n, F ) admits a group PΓL(Γ) of automorphic collineations. It is well known that for characteristic zero only the empty and the entire subspace are PΓL(Γ)–invariant. In case of characteristic p > 0 there may be further invariant subspaces. For #F ≥ n+ 2, we give a construction of all PΓL(Γ)–invariant subspaces. It turns out that the corresponding lattice is totally ordered in special cases only.
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ورودعنوان ژورنال:
- Eur. J. Comb.
دوره 22 شماره
صفحات -
تاریخ انتشار 2001