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Math @ Duke
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Publications [#361535] of Robert Bryant
search arxiv.org.Papers Published
- Bryant, RL, Notes on Projective, Contact, and Null Curves
(May, 2019)
(last updated on 2026/01/15)
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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