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Publication - Dr Tom Ducat

    The decomposition groups of plane conics and plane rational cubics

    Citation

    Ducat, T, Heden, I & Zimmermann, S, 2017, ‘The decomposition groups of plane conics and plane rational cubics’. Mathematics Research Letters.

    Abstract

    The decomposition group Dec(X) of an irreducible plane curve is the subgroup of plane birational maps which restrict to a birational map of X. We show that Dec(X) is generated by its elements of degree ≤2 when X is either a conic or rational cubic curve.

    Full details in the University publications repository