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arXiv · 1905.06117

Notes on Projective, Contact, and Null Curves

Robert L. Bryant
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Abstract

These are notes on some algebraic geometry of complex projective curves, together with an application to studying the contact curves in CP^3 and the null curves in the complex quadric Q^3 in CP^4, related by the well-known Klein correspondence. Most of this note consists of recounting the classical background. The main application is the explicit classification of rational null curves of low degree in Q^3. I have recently received a number of requests for these notes, so I am posting them to make them generally available.

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Robert L. Bryant. 2019-05-15. Notes on Projective, Contact, and Null Curves. https://arxiv.org/abs/1905.06117

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