Open Access
2013 Growth of regulators in finite abelian coverings
Thang T Q Lê
Algebr. Geom. Topol. 13(4): 2383-2404 (2013). DOI: 10.2140/agt.2013.13.2383

Abstract

We show that the regulator, which is the difference between the homology torsion and the combinatorial Ray–Singer torsion, of finite abelian coverings of a fixed complex has sub-exponential growth rate.

Citation

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Thang T Q Lê. "Growth of regulators in finite abelian coverings." Algebr. Geom. Topol. 13 (4) 2383 - 2404, 2013. https://doi.org/10.2140/agt.2013.13.2383

Information

Received: 4 January 2013; Revised: 22 March 2013; Accepted: 25 March 2013; Published: 2013
First available in Project Euclid: 19 December 2017

zbMATH: 1272.57018
MathSciNet: MR3073922
Digital Object Identifier: 10.2140/agt.2013.13.2383

Subjects:
Primary: 54H20‎
Secondary: 37B10 , 37B50 , 57Q10

Keywords: abelian covering , regulator , torsion homology

Rights: Copyright © 2013 Mathematical Sciences Publishers

Vol.13 • No. 4 • 2013
MSP
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