Transcendental submanifolds of projective space

Autores: Wojciech Kucharz
Localización: Commentarii mathematici helvetici, ISSN 0010-2571, Vol. 84, Nº 1, 2009, págs. 127-133
Idioma: inglés
DOI: 10.4171/cmh/154
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Resumen
- 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.