# Another Proof of Segre's Theorem about Ovals

- Published in 2013
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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.

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### 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}, collections = {About proof} }