Real regulators on self-products of 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 surfaces, we construct a regulator indecomposable -class on a self-product of a 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.