Halving in some genus 2 curves over binary fields
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We give a method to compute the halving of a divisor in the Jacobian variety of a genus 2 curve in characteristic 2. We present explicit halving formulae for each possible divisor class for some curves (those with h (x)= x), detailing all the process to obtain them. We improve the fastest known formulae for some divisor classes in the studied type of curves.