Birational Self-maps and Piecewise Algebraic Geometry

作者：Lamy Stephane^*; Sebag Julien

来源：Journal of Mathematical Sciences-The University of Tokyo, 2012, 19(3): 325-357.

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 -%26gt; X be a birational map that induces an isomorphism U congruent to V on (dense) open subvarieties U,V of X. Then we show that the complex varieties (X \ U)(red), (X \ V)(red) are piecewise isomorphic.

• 出版日期2012