Local Cohomological Dimension and Rectified Q-Homological Depth of Complex Analytic spaces

We show that the sum of the local cohomological dimension and the rectified Q-homological depth of a closed analytic subspace of a complex manifold coincide with the dimension of the ambient manifold. In the algebraic case this is equivalent to the coincidence of the rectified Q-homological depth with the de Rham depth studied by Ogus, and follows essentially from his work.

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