Birational self-maps and piecewise algebraic geometry
Abstract
Let X be a smooth projective complex variety, of dimension 3, whose Hodge numbers h3,0(X), h1,0(X) both vanish. Let f: X--> X be a birational map that induces an isomorphism on (dense) open subvarieties U,V of X. Then we show that the complex reduced varieties (X \ U), (X \ V) are piecewise isomorphic.
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