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Birational self-maps and piecewise algebraic geometry

By Stéphane Lamy and Julien Sebag

Abstract

International audienceLet 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

Topics: birational map, piecewise isomorphism, 14E07, [MATH.MATH-AG]Mathematics [math]/Algebraic Geometry [math.AG]
Publisher: HAL CCSD
Year: 2012
OAI identifier: oai:HAL:hal-00654982v1

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