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

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.

References in corpus (1)

• New complex analytic methods in the theory of minimal surfaces: a survey