English

Donagi-Markman cubics for Hitchin systems of type A2, B2. G2

Algebraic Geometry 2025-06-03 v1

Abstract

We obtain explicit formulae for the Donagi-Markman (Bryant-Griffiths, Yukawa) cubic for Hitchin systems of type A2A_2, B2B_2 and G2G_2. This is achieved by evaluating the quadratic residues in the Balduzzi-Pantev formula, using a previous result of ours. For G2G_2 we also recover earlier results of Hitchin.

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Cite

@article{arxiv.2412.17607,
  title  = {Donagi-Markman cubics for Hitchin systems of type A2, B2. G2},
  author = {Ugo Bruzzo and Peter Dalakov},
  journal= {arXiv preprint arXiv:2412.17607},
  year   = {2025}
}

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24 pages