Donagi-Markman cubics for Hitchin systems of type A2, B2. G2
Abstract
We obtain explicit formulae for the Donagi-Markman (Bryant-Griffiths, Yukawa) cubic for Hitchin systems of type A2, B2 and G2. This is achieved by evaluating the quadratic residues in the Balduzzi-Pantev formula, using a previous result of ours. For G2 we also recover earlier results of Hitchin.
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