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Hyperelliptic Curves
New Features:
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New intrinsics for finding automorphisms and for isomorphism testing
have been added
[4] (AutomorphismGroup and IsIsomorphic resp.).
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New intrinsics that change the model of a
hyperelliptic curve are now available.
Those are
[4] SimplifiedModel,
pMinimalModel, pMinimalWeierstrassModel,
ReducedModel, pNormalModel and
MinimalWeierstrassModel,
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Using an algorithm due to Mestre, one can construct a curve of genus 2 from
a given a set of Igusa-Clebsch invariants (the function
CurveFromICInv).
The implementation of the algorithm must be credited to P. Gaudry.
The reduction of the curve so obtained is achieved using ideas
due to P. Van Wamelen.
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The function Frobenius applies the Frobenius to a point
on a hyperelliptic curve.