Real Regulator on K₁ of elliptic surfaces

2013/01/16 by Masanori Asakura, Asakura, Masanori · 1 citation
Mathematics · #Algebraic Geometry and Number Theory #Geometric and Algebraic Topology #advanced mathematical theories #math.AG #math.NT #msc:19F27

paper · pdf · doi:10.48550/arxiv.1301.3625

The main theorem is improved

arxiv created 2013/04/30 · arxiv updated 2013/05/01

Abstract

We give a certain method for computations of real regulator on K₁ of elliptic surfaces. We also give an examples of a regulator indecomposable element for an elliptic surface with an arbitrary large p_g.

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• A formula for Beilinson's regulator map on K₁ of a fibration of curves having a totally degenerate semistable fiber

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