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(Via Anton (my fellow-blogger) and his wife Masha- their seven year old daughter Ivanka’s notes from Hirzebruch’s opening lecture at the 50th Arbeitstagung here a couple of weeks ago)
Recently I asked Faltings for some references for a self-study of Arakelov theory beyond Lang’s Arakelov theory.
He suggested the following (all revolving around the arithmetic Riemann-Roch theorem):
1. Papers by Gillet and Soule on arithmetic intersection theory
2. Papers by Bismut, Gillet and Soule on determinant of cohomology of an arithmetic variety (towards Riemann-Roch for this determinant.)
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