Volume 3, Issue 3
Abstract:
We describe algorithms based on invariant theory to solve problems on the geometry of curves, mainly those of genus 2, 3, and 4. New theoretical results building on the first author’s PhD thesis are also included.
Keywords: Plane quartic curves, hyperelliptic curves, invariants, reconstruction, descent, twists.
Citation:
Thomas Bouchet, Reynald Lercier, Christophe Ritzenthaler, and Jeroen Sijsling. Functionality for isomorphism classes of curves and hypersurfaces. Polynesian Journal of Mathematics, Volume 3, Issue 3, Pages 1–28. (Sept. 2026) DOI: 10.69763/polyjmath.3.3
Milestones:
Received 6 Mar 2026
Revised 31 Aug 2026
Accepted 1 Sep 2026
Published 9 Sep 2026
Communicated by Gaetan Bisson
The above content is published under the terms of the Creative Commons Attribution 4.0 International license.