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An effective Arakelov-theoretic version of the hyperbolic isogeny theorem
Published online by Cambridge University Press: 14 January 2016
Abstract
For any integer e and hyperbolic curve X over $\overline{\mathbb Q}$, Mochizuki showed that there are only finitely many isomorphism classes of hyperbolic curves Y of Euler characteristic e with the same universal cover as X. We use Arakelov theory to prove an effective version of this finiteness statement.
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- Research Article
- Information
- Mathematical Proceedings of the Cambridge Philosophical Society , Volume 160 , Issue 3 , May 2016 , pp. 463 - 476
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- Copyright © Cambridge Philosophical Society 2016
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