Non straightenable complex lines in C2

Abstract

Non straightenable complex lines in C 2Franc Forstneric(1), Josip Globevnik(2) and Jean-Pierre Rosay(1) Abhyankar and Mob,in [1, (1.6), p. 151], and M. Suzuki, in [11, w proved that if P is a polynomial embedding of C into C 2, then there exists ~b, a polynomial automorphism of C 2, such that (~boP)(C)=C x {0}.The corresponding and much easier result has been proved for polynomial embeddings of C into C '~, for n>4 by Z. Jelonek [7] (more generally, Jelonek treats the case of embeddings of C k into C ~, for n>2k+2).The case of polynomial embeddings of C into C 3 seems open.

Locations

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