%0 Journal Article
%A Gusein-Zade, Sabir Medgidovich
%A Luengo Velasco, Ignacio
%A Melle Hernández, Alejandro
%T On piecewise isomorphism of some varieties
%D 2011
%@ 2218-6816
%U https://hdl.handle.net/20.500.14352/43750
%X Two quasi-projective varieties are called piecewise isomorphic if they can be stratified into pairwise isomorphic strata. We show that the m-th symmetric power Sm(Cn) of the complex affine space Cn is piecewise isomorphic to Cmn and the m-th symmetric power Sm(CP∞ ) of the infinite dimensional complex projective space is piecewise isomorphic to the infinite dimensional Grassmannian Gr(m;∞).
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