Legendrian Curves in ℂP 3: Cubics and Curves on a Quadric Surface

N. Kalinin

doi:10.1007/s10958-020-05108-1

Legendrian Curves in ℂP ³: Cubics and Curves on a Quadric Surface

N. Kalinin^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

Abstract

We prove that the number of Legendrian rational cubics in ℂP³ through three generic points and a line is three. Also, we classify all Legendrian curves on a quadric surface. Additionally, several computations are verified using Macaulay2 computer algebra system.

Original language	English
Pages (from-to)	489-502
Number of pages	14
Journal	Journal of Mathematical Sciences
Volume	251
Issue number	4
DOIs	https://doi.org/10.1007/s10958-020-05108-1
State	Published - Dec 2020
Externally published	Yes

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title = "Legendrian Curves in ℂP 3: Cubics and Curves on a Quadric Surface",

abstract = "We prove that the number of Legendrian rational cubics in ℂP3 through three generic points and a line is three. Also, we classify all Legendrian curves on a quadric surface. Additionally, several computations are verified using Macaulay2 computer algebra system.",

author = "N. Kalinin",

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Legendrian Curves in ℂP ³: Cubics and Curves on a Quadric Surface

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