scholarly journals Bounded automorphism groups of compact complex surfaces

2020 ◽  
Vol 211 (9) ◽  
pp. 1310-1322 ◽  
Author(s):  
Yu. G. Prokhorov ◽  
C. A. Shramov
Author(s):  
Yuri Prokhorov ◽  
Constantin Shramov

Abstract We study automorphism groups and birational automorphism groups of compact complex surfaces. We show that the automorphism group of such a surface $X$ is always Jordan, and the birational automorphism group is Jordan unless $X$ is birational to a product of an elliptic and a rational curve.


2018 ◽  
Vol 333 ◽  
pp. 620-669 ◽  
Author(s):  
Ingrid Bauer ◽  
Fabrizio Catanese

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