AI & Computingarticle2026-09-09

Functionality for isomorphism classes of curves and hypersurfaces

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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.

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View paper (DOI)Open access version OpenAlexPolynesian Journal of MathematicsPublished 2026-09-09

Authors: Thomas Bouchet, Reynald Lercier, Christophe Ritzenthaler, Jeroen Sijsling

Institutions: Université de Rennes

Polynomial and algebraic computation Algebraic Geometry and Number Theory Cryptography and Residue Arithmetic