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arXiv · 1112.5706

Birational self-maps and piecewise algebraic geometry

Stéphane Lamy·Julien Sebag
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Abstract

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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Stéphane Lamy, Julien Sebag. 2011-12-24. Birational self-maps and piecewise algebraic geometry. https://arxiv.org/abs/1112.5706

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