curves and their invariants: geometric, arithmetic and algorithmic aspects.
Journal of Algebra, 372(0):595-636, December 2012..
We apply classical invariant theory of binary forms to
explicitly characterize isomorphism classes of hyperelliptic
curves of small genus and, conversely, propose algorithms
for reconstructing hyperelliptic models from given
invariants. We focus on genus 3 hyperelliptic curves. Both
geometric and arithmetic aspects are considered. Some
equations stated in this article are available here :
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