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arXiv · 1607.07486

Legendrian curves in $\mathbb C P^3$: cubics and curves on a quadric surface

Nikita Kalinin
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Abstract

We prove that the number of legendrian rational cubics in $\mathbb C P^3$ through three generic points and a line is three; also we classify all legendrian curves on a quadric surface. Several computations are additionally verified using Macaulay2 computer algebra system.

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Nikita Kalinin. 2016-07-25. Legendrian curves in $\mathbb C P^3$: cubics and curves on a quadric surface. https://doi.org/10.1007/s10958-020-05108-1

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