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math.AG2020★ 2 cited
Generators of the plane Cremona group over the field with two elements
Julia Schneider
The plane Cremona group over the finite field is generated by three infinite families and finitely many birational maps with small base orbits. One family preserves…
math.AG2020★ 9 cited
Algebraic subgroups of the plane Cremona group over a perfect field
Julia Schneider, Susanna Zimmermann
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 th…