Automorphism groups of smooth plane curves

Takeshi Harui

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arXiv · 1306.5842

Automorphism groups of smooth plane curves

Takeshi Harui

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Abstract

The author determines the structure of automorphism groups of smooth plane curves of degree at least four. Furthermore, he gives some upper bounds for the order of automorphism groups of smooth plane curves and classifies the cases with large automorphism groups. This paper also contains a simple proof of the uniqueness of smooth plane curves with the full automorphism group of maximal order for each degree.

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Takeshi Harui. 2013-06-25. Automorphism groups of smooth plane curves. https://arxiv.org/abs/1306.5842

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