RT Journal Article T1 On piecewise isomorphism of some varieties A1 Gusein-Zade, Sabir Medgidovich A1 Luengo Velasco, Ignacio A1 Melle Hernández, Alejandro AB 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;∞). PB Azerb. Math. Soc SN 2218-6816 YR 2011 FD 2011 LK https://hdl.handle.net/20.500.14352/43750 UL https://hdl.handle.net/20.500.14352/43750 LA eng NO RFBR NO MTM NO Grupo Singular CCG07-UCM/ESP-2695-921020 DS Docta Complutense RD 21 mar 2026