The decomposition groups of plane conics and plane rational cubics
Ducat, Tom · Hedén, Isac · Zimmermann, Susanna
Original · EN
The decomposition group of an irreducible plane curve X² is the subgroup Dec(X)(P²) of birational maps which restrict to a birational map of X. We show that Dec(X) is generated by its elements of degree ≤2 when X is either a conic or rational cubic curve.
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