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Algebraic subgroups of the plane Cremona group over a perfect field

2021 ◽  
Vol Volume 5 ◽  
Author(s):  
Julia Schneider ◽  
Susanna Zimmermann
Keyword(s):  
Rational Points ◽  
Perfect Field ◽  
Algebraic Subgroup ◽  
Cremona Group ◽  
Birational Map

We show that any infinite algebraic subgroup of the plane Cremona group over a perfect field is contained in a maximal algebraic subgroup of the plane Cremona group. We classify the maximal groups, and their subgroups of rational points, up to conjugacy by a birational map.

scholarly journals The Cremona Group and Its Subgroups

2021 ◽  
Author(s):  
Julie Déserti
Keyword(s):  
Cremona Group
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