Nuclei of normal rational curves

被引：0

作者：

Gmainer J. ^{[1
]}

Havlicek H. ^{[1
]}

机构：

[1] Abteilung für Lineare Algebra und Geometrie, Technische Universität, A-1040 Wien

来源：

Journal of Geometry | 2000年 / 69卷 / 1-2期

关键词：

Explicit Formula; Rational Curve; Characteristic Zero; Rational Curf; Normal Rational Curve;

D O I：

10.1007/BF01237480

中图分类号：

学科分类号：

摘要：

A k-nucleus of a normal rational curve in PG(n, F) is the intersection over all k-dimensional osculating subspaces of the curve (k ∈ (-1, 0,…, n-1)). It is well known that for characteristic zero all nuclei are empty. In case of characteristic p > 0 and #F ≥ n the number of non-zero digits in the representation of n + 1 in base p equals the number of distinct nuclei. An explicit formula for the dimensions of k-nuclei is given for #F ≥ k + 1. © Birkhäuser Verlag, 2000.

引用

页码：117 / 130

页数：13

共 16 条

[1]

Brauner H., Geometrie Projektiver Räume II, (1976)

[2]

Brouwer A.E., Wilbrink H.A., Block designs, Handbook of Incidence Geometry, pp. 349-382, (1995)

[3]

Glynn D.G., The non-classical 10-arc of PG(4,9), Discrete Math., 59, pp. 43-51, (1986)

[4]

Hasse H., Noch Tine begründung der theorie der höheren differentialquotienten in einem algebraischen funktionenkörper einer unbestimmten, J. Reine Angew. Math., 177, pp. 215-237, (1937)

[5]

Havlicek H., Normisomorphismen und normkurven enilichdimensionaler projektiver desargues-Räume, Monatsh. Math., 95, pp. 203-218, (1983)

[6]

Havlicek H., Die automorphen kollineationen nicht entarteter normkurven, Geom. Dedicata, 16, pp. 85-91, (1984)

[7]

Havlicek H., Applications of results on generalized polynomial identities in desarguesian projective spaces, Rings and Geometry, pp. 39-77, (1985)

[8]

Herzer A., Die schmieghyperebenen an die veronese-Mannigfaltigkeit bei beliebiger charakteristik, J. Geometry, 18, pp. 140-154, (1982)

[9]

Hexel E., Sachs H., Counting residues modulo a prime in Pascal's triangle, Indian J. Math., 20, pp. 91-105, (1978)

[10]

Hirschfeld J.W.P., Projective Geometry over Finite Fields, (1998)

← 1 2 →