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- W4287704610 abstract "We provide examples of abelian surfaces over number fields $K$ whose reductions at almost all good primes possess an isogeny of prime degree $ell$ rational over the residue field, but which themselves do not admit a $K$-rational $ell$-isogeny. This builds on work of Cullinan and Sutherland. When $K=mathbb{Q}$, we identify certain weight-$2$ newforms $f$ with quadratic Fourier coefficients whose associated modular abelian surfaces $A_f$ exhibit such a failure of a local-global principle for isogenies." @default.
- W4287704610 created "2022-07-26" @default.
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- W4287704610 date "2020-07-27" @default.
- W4287704610 modified "2023-09-30" @default.
- W4287704610 title "Examples of abelian surfaces failing the local-global principle for isogenies" @default.
- W4287704610 doi "https://doi.org/10.48550/arxiv.2007.13583" @default.
- W4287704610 hasPublicationYear "2020" @default.
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