Journal of Algebraic Geometry

Journal of Algebraic Geometry

Online ISSN 1534-7486; Print ISSN 1056-3911

   
 
 

 

Real regulators on self-products of $ K3$ surfaces


Authors: Xi Chen and James D. Lewis
Journal: J. Algebraic Geom. 20 (2011), 101-125
DOI: https://doi.org/10.1090/S1056-3911-09-00525-6
Published electronically: October 7, 2009
MathSciNet review: 2729276
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Abstract | References | Additional Information

Abstract: Based on a novel application of an archimedean type pairing to the geometry and deformation theory of $ K3$ surfaces, we construct a regulator indecomposable $ K_1$-class on a self-product of a $ K3$ surface. In the Appendix, we explain how this pairing is a special instance of a general pairing on precycles in the equivalence relation defining Bloch's higher Chow groups.


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Additional Information

Xi Chen
Affiliation: 632 Central Academic Building, University of Alberta, Edmonton, Alberta T6G 2G1, Canada
Email: xichen@math.ualberta.ca

James D. Lewis
Affiliation: 632 Central Academic Building, University of Alberta, Edmonton, Alberta T6G 2G1, Canada
Email: lewisjd@ualberta.ca

DOI: https://doi.org/10.1090/S1056-3911-09-00525-6
Received by editor(s): July 18, 2008
Received by editor(s) in revised form: November 17, 2008
Published electronically: October 7, 2009
Additional Notes: Both authors were partially supported by a grant from the Natural Sciences and Engineering Research Council of Canada.

American Mathematical Society