Arakelov geometry on degenerating curves
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Gerd Faltings
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.
References
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© 2020 Walter de Gruyter GmbH, Berlin/Boston
Artikel in diesem Heft
- Frontmatter
- Virtual cycles of gauged Witten equation
- Arakelov geometry on degenerating curves
- Ancient solutions for Andrews’ hypersurface flow
- On the regular-convexity of Ricci shrinker limit spaces
- The metric geometry of singularity types
- Profinite rigidity for twisted Alexander polynomials
- On the set of divisors with zero geometric defect
- Smooth rational affine varieties with infinitely many real forms
Artikel in diesem Heft
- Frontmatter
- Virtual cycles of gauged Witten equation
- Arakelov geometry on degenerating curves
- Ancient solutions for Andrews’ hypersurface flow
- On the regular-convexity of Ricci shrinker limit spaces
- The metric geometry of singularity types
- Profinite rigidity for twisted Alexander polynomials
- On the set of divisors with zero geometric defect
- Smooth rational affine varieties with infinitely many real forms
