Capacity theory and arithmetic intersection theory
Ted Chinburg, Chi Fong Lau, and Robert Rumely
Source: Duke Math. J. Volume 117, Number 2 (2003), 229-285.
Abstract
We show that the sectional capacity of an adelic subset of a projective variety over a number field is a quasi-canonical limit of arithmetic top self-intersection numbers, and we establish the functorial properties of extremal plurisubharmonic Green's functions. We also present a conjecture that the sectional capacity should be a top selfintersection number in an appropriate adelic arithmetic intersection theory.
Primary Subjects: 11G35
Secondary Subjects: 14G40, 32U20, 32U35
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Permanent link to this document: http://projecteuclid.org/euclid.dmj/1085598370
Mathematical Reviews number (MathSciNet):
MR1971294
Digital Object Identifier: doi:10.1215/S0012-7094-03-11722-6
Zentralblatt MATH identifier:
1026.11056
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