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math.AG2014★ 4 cited
The singularities of the invariant metric on the line bundle of Jacobi forms
José Burgos, Ulf Kühn, Jürg Kramer
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…
math.AG2005★ 2 cited
Arithmetic characteristic classes of automorphic vector bundles
J. I. Burgos Gil, J. Kramer, U. Kuehn
We develop a theory of arithmetic characteristic classes of (fully decomposed) automorphic vector bundles equipped with an invariant hermitian metric. These characteristic classes…