Birational self-maps and piecewise algebraic geometry

Details Birational self-maps and piecewise algebraic geometry Birational self-maps and piecewise algebraic geometry

2011-12-24

arxiv.org/abs/1112.5706v1

Mathematics

Algebraic Geometry

Scientific paper

Let X be a smooth projective complex variety, of dimension 3, whose Hodge
numbers h^{3,0}(X), h^{1,0}(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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