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• W2949202980 abstract "Let $C$ be a hyperelliptic curve of genus $ggeq 1$ 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 $ggeq 1$ 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.
• W2949202980 created "2019-06-27" @default.
• W2949202980 creator A5014183266 @default.
• W2949202980 date "2013-10-24" @default.
• W2949202980 modified "2023-09-27" @default.
• W2949202980 title "An effective proof of the hyperelliptic Shafarevich conjecture" @default.
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• W2949202980 hasPublicationYear "2013" @default.
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