A universal property of odd degree real Fermat curves
نویسندگان
چکیده
Fix an odd integer d ≥ 1 and let Fd ⊂ R2 denote the real Fermat curve defined by the equation xd + yd = 1. Here we prove that Fd has the following property: Let X ⊆ Rn be any real algebraic variety. Then there exists a “one-parameter isotopic Nash modification” X̃t of X such that X̃0 = X and each real algebraic variety X̃t, t = 0 may be biregularly embedded into (Fd). Mathematics Subject Classification: 14P05; 14P20
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