4.3 Article

Fixedpoints of a finite subgroup of the plane Cremona group

Journal

ALGEBRAIC GEOMETRY
Volume 3, Issue 4, Pages 441-460

Publisher

EUROPEAN MATHEMATICAL SOC
DOI: 10.14231/AG-2016-021

Keywords

Cremona group; rational surfaces; fixed points

Categories

Funding

  1. National Science Foundation RTG grant [DMS 0943832]
  2. Direct For Mathematical & Physical Scien [943832] Funding Source: National Science Foundation
  3. Division Of Mathematical Sciences [943832] Funding Source: National Science Foundation

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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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