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arXiv · 1703.09886

On the image of the parabolic Hitchin map

David Baraglia·Masoud Kamgarpour
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Abstract

We determine the image of the (strongly) parabolic Hitchin map for all parabolics in classical groups and $G_2$. Surprisingly, we find that the image is isomorphic to an affine space in all cases, except for certain "bad parabolics" in type $D$, where the image can be singular.

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David Baraglia, Masoud Kamgarpour. 2017-03-29. On the image of the parabolic Hitchin map. https://doi.org/10.1093/qmath%2Fhax055

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