Fourier transform on the locus of cyclic spectral curves in the Hitchin base
Abstract
We compute the Fourier transform of some of the summands of the push-forward of the constant sheaf under the Hitchin map for SLn restricted to the locus of cyclic spectral curves inside the Hitchin base (for SL2 all spectral curves are cyclic) and give an estimate on the support of the Fourier transforms of the other summands.
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