Transcendental submanifolds of projective space
Wojciech Kucharz
Jagiellonian University, Krakow, Poland

Abstract
Given integers m and c satisfying m − 2 ≥ c ≥ 2, we explicitly construct a nonsingular m-dimensional algebraic subset of ℙm + c(ℝ) that is not isotopic to the set of real points of any nonsingular complex algebraic subset of ℙm + c(ℂ) defined over ℝ. The first examples of this type were obtained by Akbulut and King in a more complicated and nonconstructive way, and only for certain large integers m and c.
Cite this article
Wojciech Kucharz, Transcendental submanifolds of projective space. Comment. Math. Helv. 84 (2009), no. 1, pp. 127–134
DOI 10.4171/CMH/154