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- W3174395079 abstract "In the previous chapter, we showed that Brandt matrices for an order in a definite quaternion algebra B contain a wealth of arithmetic. In the special case where $${{,mathrm{disc},}}B=p$$ is prime, there is a further beautiful connection between Brandt matrices and the theory of supersingular elliptic curves, arising from the following important result: there is an equivalence of categories between supersingular elliptic curves over $$overline{mathbb{F }}_p$$ and right ideals in a (fixed) maximal order $$mathcal {O}subset B$$ . We pursue this important connection in this chapter for the reader who has a bit more background in algebraic curves." @default.
- W3174395079 created "2021-07-05" @default.
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- W3174395079 date "2021-01-01" @default.
- W3174395079 modified "2023-09-26" @default.
- W3174395079 title "Supersingular elliptic curves" @default.
- W3174395079 doi "https://doi.org/10.1007/978-3-030-56694-4_42" @default.
- W3174395079 hasPublicationYear "2021" @default.
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