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A theorem by Mumford implies that every automorphic line bundle on a pure open Shimura variety, equipped with an invariant smooth metric, can be uniquely extended as a line bundle on a toroidal compactification of the variety, in such a way that the
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https://explore.openaire.eu/search/publication?articleId=doi_________::0aceb623130abdf4423909d5329d2081
Autor:
K��hn, Ulf, M��ller, Jan Steffen
We give an explicitly computable lower bound for the arithmetic self-intersection number of the dualizing sheaf on a large class of arithmetic surfaces. If some technical conditions are satisfied, then this lower bound is positive. In particular, the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::cfb781bc7ab5109c21950a70e69f948a
http://arxiv.org/abs/1205.3274
http://arxiv.org/abs/1205.3274