Cubic hyper-equisingular families of complex projective varieties. I (Q1917585)

The author studies so-called cubic hyper-equisingular families of complex projective varieties to understand and describe the variation of mixed Hodge structure, which comes from a locally trivial family of projective varieties with ordinary singularities. In this first part, one finds definitions and cohomological descent. [For part II see ibid., 210-212 (1995; see the following review)].