Pascal’s Triangle, Normal Rational Curves, and their Invariant Subspaces

Author: Gmainer J.

Source: European Journal of Combinatorics, Volume 22, Number 1, January 2001 , pp. 37-49(13)

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Abstract:

Each normal rational curve in PG(n, F) admits a group PL() of automorphic collineations. It is well known that for characteristic zero only the empty and the entire subspace are PL()-invariant. In the case of characteristicp > 0 there may be further invariant subspaces. For#F n + 2, we give a construction of allPL()-invariant subspaces. It turns out that the corresponding lattice is totally ordered in special cases only. Copyright 2001 Academic Press

Language: English

Document Type: Research article

Affiliations: Institut für Mathematik und Angewandte Geometrie, Abteilung für Angewandte Mathematik, Montanuniversität Leoben, Franz Josef Straße 18, Leoben, A–8700, Austria

Publication date: 2001-01-01