The effective Shafarevich conjecture for abelian varieties of ${\text {GL}_{2}}$-type
In this article we establish the effective Shafarevich conjecture for abelian varieties over ${\mathbb Q}$ of ${\text {GL}_2}$-type. The proof combines Faltings’ method with Serre’s modularity conjecture, isogeny estimates and results from Arakelov theory. Our result opens the way for the effective...
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| Format: | Artykuł |
| Język: | English |
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Cambridge University Press
2021-01-01
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| Seria: | Forum of Mathematics, Sigma |
| Hasła przedmiotowe: | |
| Dostęp online: | https://www.cambridge.org/core/product/identifier/S2050509421000293/type/journal_article |