Strangely dual orbifold equivalence I

Ana Ros Camacho and Rachel Newton

Journal of Singularities
volume 14 (2016), 34-51

Received 14 October 2015. Received in revised form 2 March 2016.

DOI: 10.5427/jsing.2016.14c

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Abstract:

In this brief note we prove orbifold equivalence between two potentials described by strangely dual exceptional unimodular singularities of type E_{14} and Q_{10} in two different ways. The matrix factorizations proving the orbifold equivalence give rise to equations whose solutions are permuted by Galois groups which differ for different expressions of the same singularity.


Author(s) information:

Ana Ros Camacho Rachel Newton
Institut de Mathématiques de Jussieu Department of Mathematics and Statistics
Paris Rive Gauche University of Reading
4 place Jussieu Whiteknights, PO Box 220
75005 Paris, France Reading RG6 6AX, UK
email: ana.ros-camacho@imj-prg.fr email: r.d.newton@reading.ac.uk