A note on rational normal curves totally tangent to a Hermitian variety
Algebraic Geometry
2012-03-20 v1
Abstract
Let q be a power of a prime integer p, and let X be a Hermitian variety of degree q+1 in the n-dimensional projective space. We count the number of rational normal curves that are tangent to X at distinct q+1 points with intersection multiplicity n. This generalizes a result of B. Segre on the permutable pairs of a Hermitian curve and a smooth conic.
Keywords
Cite
@article{arxiv.1203.4047,
title = {A note on rational normal curves totally tangent to a Hermitian variety},
author = {Ichiro Shimada},
journal= {arXiv preprint arXiv:1203.4047},
year = {2012}
}
Comments
7 pages, no figures