Transcendental submanifolds of projective space

Wojciech Kucharz
2009 Commentarii Mathematici Helvetici  
Given integers m and c satisfying m − 2 ≥ c ≥ 2, we explicitly construct a nonsingular m-dimensional algebraic subset of P m+c (R) that is not isotopic to the set of real points of any nonsingular complex algebraic subset of P m+c (C) defined over R. First examples of such a type were obtained by Akbulut and King in a more complicated and nonconstructive way, and only for certain large integers m and c.
doi:10.4171/cmh/154 fatcat:t5bcasvdfzecncvhoni2s7puay