New York Journal of Mathematics
Volume 21 (2015) 485-510


John Armstrong

The twistor discriminant locus of the Fermat cubic

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Published: July 2, 2015
Keywords: Twistor, discriminant locus, Fermat cubic
Subject: 53C28

We consider the discriminant locus of the Fermat cubic under the twistor fibration CP3 ⟶ S4. We show that it has a conformal symmetry group of order 72. Using these symmetries we reduce the problem of computing the topology of this discriminant locus to a computationally feasible problem which we solve using the cylindrical algebraic decomposition algorithm.

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King's College London, Strand, London, WC2R 2LS