Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4585448 | Journal of Algebra | 2012 | 42 Pages |
Abstract
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.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Reynald Lercier, Christophe Ritzenthaler,