Publications [#287256] of Richard Hain

Papers Published

1. Hain, RM, The de Rham homotopy theory of complex algebraic varieties. II, $K$-Theory. An Interdisciplinary Journal for the Development, Application, and Influence of $K$-Theory in the Mathematical Sciences, vol. 1 no. 5 (1987), pp. 481-497, ISSN 0920-3036 [doi]
   (last updated on 2025/04/11)

   Abstract:
   We show that the local system of homotopy groups, associated with a topologically locally trivial family of smooth pointed varieties, underlies a good variation of mixed Hodge structure. In particular we show that there is a limit mixed Hodge structure on homotopy associated with a degeneration of such varieties. © 1987 Kluwer Academic Publishers.