Arakelov intersection indices of linear cycles and the geometry of buildings and symmetric spaces
Werner, Annette
Duke Math. J., Tome 115 (2002) no. 1, p. 319-355 / Harvested from Project Euclid
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This paper generalizes Yu. Manin's approach toward a geometrical interpretation of Arakelov theory at infinity to linear cycles in projective spaces. We show how to interpret certain non-Archimedean Arakelov intersection numbers of linear cycles on ∙n−1 with the combinatorial geometry of the Bruhat-Tits building associated to PGL(n)$. This geometric setting has an Archimedean analogue, namely, the Riemannian symmetric space associated to SL(n,ℂ), which we use to interpret analogous Archimedean intersection numbers of linear cycles in a similar way.
Publié le : 2002-02-01
Classification:  14G40,  14C17,  20E42,  51E24 
@article{1087575043,
     author = {Werner, Annette},
     title = {Arakelov intersection indices of linear cycles and the geometry of buildings and symmetric spaces},
     journal = {Duke Math. J.},
     volume = {115},
     number = {1},
     year = {2002},
     pages = { 319-355},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1087575043}
}

Werner, Annette. Arakelov intersection indices of linear cycles and the geometry of buildings and symmetric spaces. Duke Math. J., Tome 115 (2002) no. 1, pp.  319-355. http://gdmltest.u-ga.fr/item/1087575043/