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- W4297677344 abstract "Mazur's isogeny theorem states that if $p$ is a prime for which there exists an elliptic curve $E / mathbb{Q}$ that admits a rational isogeny of degree $p$, then $p in {2,3,5,7,11,13,17,19,37,43,67,163 }$. This result is one of the cornerstones of the theory of elliptic curves and plays a crucial role in the proof of Fermat's Last Theorem. In this expository paper, we overview Mazur's proof of this theorem, in which modular curves and Galois representations feature prominently." @default.
- W4297677344 created "2022-09-30" @default.
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- W4297677344 date "2022-09-07" @default.
- W4297677344 modified "2023-09-30" @default.
- W4297677344 title "Mazur's isogeny theorem" @default.
- W4297677344 doi "https://doi.org/10.48550/arxiv.2209.03153" @default.
- W4297677344 hasPublicationYear "2022" @default.
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