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arXiv · 2404.13787

Fourier transform on the locus of cyclic spectral curves in the Hitchin base

Andrei Ionov
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Abstract

We compute the Fourier transform of some of the summands of the push-forward of the constant sheaf under the Hitchin map for $\mathrm{SL}_n$ restricted to the locus of cyclic spectral curves inside the Hitchin base (for $\mathrm{SL}_2$ all spectral curves are cyclic) and give an estimate on the support of the Fourier transforms of the other summands.

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Andrei Ionov. 2024-04-21. Fourier transform on the locus of cyclic spectral curves in the Hitchin base. https://arxiv.org/abs/2404.13787

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