Capacity theory and arithmetic intersection theory
Chinburg, Ted ; Lau, Chi Fong ; Rumely, Robert
Duke Math. J., Tome 120 (2003) no. 3, p. 229-285 / Harvested from Project Euclid
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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.
Publié le : 2003-04-01
Classification:  11G35,  14G40,  32U20,  32U35 
@article{1085598370,
     author = {Chinburg, Ted and Lau, Chi Fong and Rumely, Robert},
     title = {Capacity theory and arithmetic intersection theory},
     journal = {Duke Math. J.},
     volume = {120},
     number = {3},
     year = {2003},
     pages = { 229-285},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1085598370}
}

Chinburg, Ted; Lau, Chi Fong; Rumely, Robert. Capacity theory and arithmetic intersection theory. Duke Math. J., Tome 120 (2003) no. 3, pp.  229-285. http://gdmltest.u-ga.fr/item/1085598370/