Friday, 22 February 2008

ag.algebraic geometry - Does a birational involution of C^n always have a fixed point?

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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