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Regulator Indecomposable Cycles on a Product of Elliptic Curves

Published online by Cambridge University Press:  20 November 2018

İnan Utku Türkmen
İnan Utku Türkmen*
Affiliation:
Department of Mathematics, Bilkent University, Ankara, Turkey, 06800 e-mail: turkmen@fen.bilkent.edu.tr
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Abstract.

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We provide a novel proof of the existence of regulator indecomposables in the cycle group $C{{H}^{2}}\left( X,\,1 \right)$, 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

14C25real regulatorregulator indecomposablehigher Chow groupindecomposable cycle
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 56 , Issue 3 , 01 September 2013 , pp. 640 - 646
Copyright
Copyright © Canadian Mathematical Society 2013

References

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