# Notes on Projective, Contact, and Null Curves

@article{Bryant2019NotesOP, title={Notes on Projective, Contact, and Null Curves}, author={R. Bryant}, journal={arXiv: Algebraic Geometry}, year={2019} }

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.
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#### References

SHOWING 1-10 OF 11 REFERENCES

Surfaces in conformal geometry, The mathematical heritage of Hermann

- Weyl (Durham, NC,
- 1987

Existence of flat-type minimal surfaces with 7 ends in R3

- J. of the Graduate School, Academia Sinica,
- 1999

Some new examples of minimal surfaces in R3 and its applications

- MSRI preprint 07510-85,
- 1986