References & Citations
Mathematics > Algebraic Geometry
Title: Fourier transform on the locus of cyclic spectral curves in the Hitchin base
(Submitted on 21 Apr 2024 (v1), last revised 24 Apr 2024 (this version, v2))
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.
Submission history
From: Andrei Ionov [view email][v1] Sun, 21 Apr 2024 22:19:31 GMT (30kb)
[v2] Wed, 24 Apr 2024 17:58:58 GMT (30kb)
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