Fast computation of isomorphisms of hyperelliptic curves and explicit Galois descent
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Publication:2949508
zbMath1344.11049arXiv1203.5440MaRDI QIDQ2949508
Christophe Ritzenthaler, Reynald Lercier, Jeroen Sijsling
Publication date: 1 October 2015
Full work available at URL: https://arxiv.org/abs/1203.5440
Special algebraic curves and curves of low genus (14H45) Computational aspects of algebraic curves (14Q05) [https://portal.mardi4nfdi.de/w/index.php?title=+Special%3ASearch&search=%22Curves+of+arbitrary+genus+or+genus+%28%0D%0Ae+1%29+over+global+fields%22&go=Go Curves of arbitrary genus or genus ( e 1) over global fields (11G30)]
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Computing twists of hyperelliptic curves ⋮ On explicit descent of marked curves and maps ⋮ Hyperelliptic curves and their invariants: geometric, arithmetic and algorithmic aspects ⋮ Erratum to: ``Fields of moduli and definition of hyperelliptic covers ⋮ Bielliptic curves of genus 3 in the hyperelliptic moduli ⋮ Efficient search for superspecial hyperelliptic curves of genus four with automorphism group containing \(\mathbf{C}_6\) ⋮ Numerical computation of endomorphism rings of Jacobians ⋮ Principally polarized squares of elliptic curves with field of moduli equal to \(\mathbb{Q}\) ⋮ Conductor and discriminant of Picard curves ⋮ Reconstructing plane quartics from their invariants ⋮ Explicit Galois obstruction and descent for hyperelliptic curves with tamely cyclic reduced automorphism group ⋮ The geometry of some parameterizations and encodings
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