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A Zeuthen Segre formula for even dimensional submanifolds of real projective space
Published online by Cambridge University Press: 18 May 2009
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In this paper we generalise results of Craveiro de Carvalho ([3]) in two ways. First we prove the following fact.
PROPOSITION 1. Given any smooth submanifold M of real projective space ℙn, for L in an open dense subset of the space of codimension 2 subspaces of ℙnwe have
(a) L meets M transversally and
(b) the pencil of hyperplanes through L have at worst Morse (A1) contact with M.
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- Copyright © Glasgow Mathematical Journal Trust 1983