In this paper, we study the behavior at infinity of t̄ via the theory of mixed Hodge structures, especially the limit Hodge structures of Schmid and Steenbrink, extending investigations of Carlson, Cattani, and Kaplan.
This book provides a comprehensive and up-to-date introduction to Hodge theory--one of the central and most vibrant areas of contemporary mathematics--from leading specialists on the subject. The topics range from the basic topology of algebraic varieties to the study of variati…
In this memoir, we calculate the Jordan form of the monodromy of surface superisolated singularities, using mixed Hodge structure. The main step in this computation is to present explicitly an embedded resolution for this family. The topology of these singularities is sufficient…