Immersions of complex hypersurfaces

Samsky, Stanley R.

doi:10.1090/S0002-9947-1975-0388416-3

Immersions of complex hypersurfaces
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by Stanley R. Samsky PDF

Trans. Amer. Math. Soc. 211 (1975), 171-184 Request permission

Abstract:

The varieties ${V^n}(d) = \{ [{z_0}, \ldots ,{z_n}] \in C{P^n}:z_0^d + \cdots + z_n^d = 0,d > 0\}$ form a class of manifolds containing the complex projective spaces. Maps from ${V^n}(d)$ to ${V^k}(e)$ are partially characterized by a “degree". We prove some nonimmersion results which are phrased in terms of this degree, and which generalize the results of S. Feder [4] on complex projective spaces.

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