Adelic geometry on arithmetic surfaces. I: Idelic and adelic interpretation of the Deligne pairing

DOI10.1215/21562261-2022-0009zbMath1498.14062arXiv1812.10834OpenAlexW2907368353MaRDI QIDQ2672167

Paolo Dolce

Publication date: 8 June 2022

Published in: Kyoto Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1812.10834

zbMATH Keywords

Deligne pairingadelesarithmetic surfaces

Mathematics Subject Classification ID

Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry (14C17) Arithmetic ground fields for surfaces or higher-dimensional varieties (14J20) Adèle rings and groups (11R56) Arithmetic varieties and schemes; Arakelov theory; heights (14G40)

Related Items (1)

Adelic geometry on arithmetic surfaces. II: Completed adeles and idelic Arakelov intersection theory

Cites Work

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• Geometry of Algebraic Curves
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• Algèbre commutative

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