Fourier transform on the locus of cyclic spectral curves in the Hitchin base
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866914767754493952 |
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| author | Ionov, Andrei |
| author_facet | Ionov, Andrei |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_13787 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Fourier transform on the locus of cyclic spectral curves in the Hitchin base Ionov, Andrei Algebraic Geometry 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. |
| title | Fourier transform on the locus of cyclic spectral curves in the Hitchin base |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2404.13787 |