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  • Explicit Galois obstruction...
    Explicit Galois obstruction and descent for hyperelliptic curves with tamely cyclic reduced automorphism group
    Lercier, Reynald; Ritzenthaler, Christophe; Sijsling, Jeroen

    Mathematics of computation, 07/2016, Letnik: 85, Številka: 3
    Journal Article

    We define homogeneous dihedral invariants for general hyperelliptic curves, and show how the obstruction can be expressed in terms of these invariants. If this obstruction vanishes, then the homogeneous dihedral invariants can also be used to explicitly construct a model over the field of moduli of the curve; if not, then one still obtains a hyperelliptic model over a degree extension of the field of moduli.>

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