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Explicit construction for decomposition of algebraic hyper- surfaces into a connected sum of handles and a homological projective space is discussed. Also a connection is provided between Levine's results about the Arf invariant in the theory of knots and the computation of Arf invariant of hypersurfaces by S. Morita and J. Wood.

A geometrical procedure for killing the middle dimensional homology groups of algebraic hypersurfaces