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- W2008596307 abstract "Let C be a hyperelliptic curve of genus g≥1 over a number field K with good reduction outside a finite set of places S of K. We prove that C has a Weierstrass model over the ring of integers of K with height effectively bounded only in terms of g, S and K. In particular, we obtain that for any given number field K, finite set of places S of K and integer g≥1 one can in principle determine the set of K-isomorphism classes of hyperelliptic curves over K of genus g with good reduction outside S." @default.
- W2008596307 created "2016-06-24" @default.
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- W2008596307 date "2014-01-01" @default.
- W2008596307 modified "2023-09-27" @default.
- W2008596307 title "An effective proof of the hyperelliptic Shafarevich conjecture" @default.
- W2008596307 doi "https://doi.org/10.5802/jtnb.877" @default.
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