Birational self-maps and piecewise algebraic geometry
Algebraic Geometry
2013-05-14 v1
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.
Cite
@article{arxiv.1112.5706,
title = {Birational self-maps and piecewise algebraic geometry},
author = {Stéphane Lamy and Julien Sebag},
journal= {arXiv preprint arXiv:1112.5706},
year = {2013}
}