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Some variants of the logarithm
Authors:Reuben Rabi
Affiliation:(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
Keywords:Mathematics Subject Classification (2000): 14C20   14C25   14C30   14C35   14F35   14H52   14H55   11G16   11G30   11G40   19F27
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