Adelic geometry on arithmetic surfaces, I: Idelic and adelic interpretation of the Deligne pairing
For an arithmetic surface X → B = SpecOK, the Deligne pairing 〈, 〉 : Pic(X)×Pic(X)→Pic(B) gives the "schematic contribution"to the Arakelov intersection number. We present an idelic and adelic interpretation of the Deligne pairing; this is the first crucial step for a full idelic and adeli...
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| Format: | Article |
| Language: | English |
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Duke University Press
2022
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| Online Access: | View Fulltext in Publisher |