(1) Department of Mathematics, Massachusetts Institute of Technology, 77 Massachusetts Avenue, Cambridge, MA 02139-4307, USA, US
Abstract:
We construct certain extensions of Hodge structures using points on algebraic curves and study them. We also introduce and use a related function theory which forms a genus g > 0 version of that of classical hyperlogarithms. Received: 9 May 2000 / Revised version: 8 December 2000