The answer is no. There are plenty of counterexamples, for example the map given by "a-fortiori", which is (x,y)mapsto(x+1/y,−y), which can be generalised to any dimension.
The good question is probably to look at birational involutions of mathbbPn.
The answer is no. There are plenty of counterexamples, for example the map given by "a-fortiori", which is (x,y)mapsto(x+1/y,−y), which can be generalised to any dimension.
The good question is probably to look at birational involutions of mathbbPn.
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