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# Regulator Indecomposable Cycles on a Product of Elliptic Curves

Published:2012-07-16
Printed: Sep 2013
• İnan Utku Türkmen,
Department of Mathematics, Bilkent University, Ankara, Turkey, 06800
 Format: LaTeX MathJax PDF

## Abstract

We provide a novel proof of the existence of regulator indecomposables in the cycle group $CH^2(X,1)$, where $X$ is a sufficiently general product of two elliptic curves. In particular, the nature of our proof provides an illustration of Beilinson rigidity.
 Keywords: real regulator, regulator indecomposable, higher Chow group, indecomposable cycle
 MSC Classifications: 14C25 - Algebraic cycles