Notes on Projective, Contact, and Null Curves

dc.contributor.author

Bryant, Robert

dc.date.accessioned

2019-08-16T12:40:33Z

dc.date.available

2019-08-16T12:40:33Z

dc.date.updated

2019-08-16T12:40:33Z

dc.description.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.

dc.identifier.uri

https://hdl.handle.net/10161/19201

dc.subject

math.AG

dc.subject

math.AG

dc.subject

math.DG

dc.subject

14H50

dc.title

Notes on Projective, Contact, and Null Curves

dc.type

Journal article

duke.contributor.orcid

Bryant, Robert|0000-0002-4890-2471

pubs.organisational-group

Trinity College of Arts & Sciences

pubs.organisational-group

Duke

pubs.organisational-group

Mathematics

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