Intermediate Jacobians and ADE Hitchin Systems

@article{Diaconescu2006IntermediateJA,
  title={Intermediate Jacobians and ADE Hitchin Systems},
  author={Duiliu-Emanuel Diaconescu and R. Donagi and T. Pantev},
  journal={arXiv: High Energy Physics - Theory},
  year={2006}
}
  • Duiliu-Emanuel Diaconescu, R. Donagi, T. Pantev
  • Published 2006
  • Physics, Mathematics
  • arXiv: High Energy Physics - Theory
  • Let $\Sigma$ be a smooth projective complex curve and $\mathfrak{g}$ a simple Lie algebra of type ${\sf ADE}$ with associated adjoint group $G$. For a fixed pair $(\Sigma, \mathfrak{g})$, we construct a family of quasi-projective Calabi-Yau threefolds parameterized by the base of the Hitchin integrable system associated to $(\Sigma,\mathfrak{g})$. Our main result establishes an isomorphism between the Calabi-Yau integrable system, whose fibers are the intermediate Jacobians of this family of… CONTINUE READING
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