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arXiv · 1203.4047

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

Ichiro Shimada
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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.

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Ichiro Shimada. 2012-03-19. A note on rational normal curves totally tangent to a Hermitian variety. https://arxiv.org/abs/1203.4047

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