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  Arakelov geometry on degenerating curves

Faltings, G. (2021). Arakelov geometry on degenerating curves. Journal für die reine und angewandte Mathematik, 771, 65-84. doi:10.1515/crelle-2020-0015.

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Item Permalink: https://hdl.handle.net/21.11116/0000-0007-0377-0 Version Permalink: https://hdl.handle.net/21.11116/0000-000A-E065-7
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https://doi.org/10.1515/crelle-2020-0015 (Publisher version)
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We study the behaviour of the Arakelov metric on a smooth curve under semistable degeneration. The final result is a complicated formula involving the local discriminants of the singularities, and the graph governing the degeneration.
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 Creators:
Faltings, Gerd1, Author           
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1Max Planck Institute for Mathematics, Max Planck Society, ou_3029201              

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 Abstract: We study the behaviour of the Arakelov metric on a smooth curve under semistable degeneration. The final result is a complicated formula involving the local discriminants of the singularities, and the graph governing the degeneration.

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Language(s): eng - English
 Dates: 2021
 Publication Status: Issued
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 Rev. Type: Peer
 Identifiers: DOI: 10.1515/crelle-2020-0015
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Title: Journal für die reine und angewandte Mathematik
  Abbreviation : J. Reine Angew. Math.
Source Genre: Journal
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Publ. Info: De Gruyter
Pages: - Volume / Issue: 771 Sequence Number: - Start / End Page: 65 - 84 Identifier: -