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The number of conjugacy classes of elements of the Cremona group of some given finite order

Jérémy Blanc
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Abstract

This note presents the study of the conjugacy classes of elements of some given finite order n in the Cremona group of the plane. In particular, it is shown that the number of conjugacy classes is infinite if n is even, n=3 or n=5, and that it is equal to 3 (respectively 9) if n=9 (respectively 15), and is exactly 1 for all remaining odd orders. Some precise representative elements of the classes are given.

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BibTeXRIS

Jérémy Blanc. 2006-11-01. The number of conjugacy classes of elements of the Cremona group of some given finite order. https://arxiv.org/abs/math/0611018

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