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On intersections with hypersurfaces and normal pseudo-flatness

Rams S.

Bulletin of the Polish Academy of Sciences. Mathematics

2000

Vol. 48, no 3

335-340

We study the behaviour of the families of hypersurfaces that are applied in [4] to estimate the Łojasiewicz exponent and the exponent of separation at infinity. We prove that the hypersurfaces for which v((Z . H)^S, c) is minimal are to be smooth along a subset of Z [intersection of sets] S and to meet some algebraic cones along the tangent space to S.