Legendrian curves in \mathbb C P³: cubics and curves on a quadric surface

2016/07/25 by Nikita Kalinin, Kalinin, Nikita
Mathematics · #Advanced Differential Equations and Dynamical Systems #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Geometric Analysis and Curvature Flows

paper · pdf · doi:10.48550/arxiv.1607.07486

openalex publication_date 2016/07/25 · openalex created_date 2018/11/02 · openalex updated_date 2026/07/28

Abstract

We prove that the number of legendrian rational cubics in \mathbb C P³ 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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