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Computing twists of hyperelliptic curves

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Abstract We give an efficient algorithm to compute equations of twists of hyperelliptic curves C of arbitrary genus over any perfect field k (of characteristic different from 2) starting with… Click to show full abstract

Abstract We give an efficient algorithm to compute equations of twists of hyperelliptic curves C of arbitrary genus over any perfect field k (of characteristic different from 2) starting with a cocycle in H 1 ( Gal ( k ‾ / k ) , Aut ( C ) ) . We also discuss some interesting examples.

Keywords: computing twists; hyperelliptic curves; twists hyperelliptic

Journal Title: Journal of Algebra
Year Published: 2019

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