# Another Proof of Segre's Theorem about Ovals

• Published in 2013
In the collection
In 1955 B. Segre showed that any oval in a projective plane over a finite field of odd order is a conic. His proof constructs a conic which matches the oval in some points, and then shows that it actually coincides with the oval. Here we give another proof. We describe the oval by a possibly high degree polynomial, and then show that the degree is actually 2.

## Other information

pages
2

### BibTeX entry

@article{Muller2013,
abstract = {In 1955 B. Segre showed that any oval in a projective plane over a finite field of odd order is a conic. His proof constructs a conic which matches the oval in some points, and then shows that it actually coincides with the oval. Here we give another proof. We describe the oval by a possibly high degree polynomial, and then show that the degree is actually 2.},
author = {M{\"{u}}ller, Peter},
month = {nov},
pages = 2,
title = {Another Proof of Segre's Theorem about Ovals},
url = {http://arxiv.org/abs/1311.3082 http://arxiv.org/pdf/1311.3082v1},
year = 2013,
archivePrefix = {arXiv},
eprint = {1311.3082},
primaryClass = {math.NT},
urldate = {2015-09-29},
}