A note on rational normal curves totally tangent to a Hermitian variety

Details A note on rational normal curves totally tangent to a Hermitian variety A note on rational normal curves totally tangent to a Hermitian variety

2012-03-19

arxiv.org/abs/1203.4047v1

Mathematics

Algebraic Geometry

7 pages, no figures

Scientific paper

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.

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