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arXiv · 1408.4042

Fixed points of a finite subgroup of the plane Cremona group

Igor Dolgachev·Alexander Duncan
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Abstract

We classify all finite subgroups of the plane Cremona group which have a fixed point. In other words, we determine all rational surfaces X with an action of a finite group G such that X is equivariantly birational to a surface which has a G-fixed point.

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Igor Dolgachev, Alexander Duncan. 2014-08-18. Fixed points of a finite subgroup of the plane Cremona group. https://arxiv.org/abs/1408.4042

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