The global nilpotent cone for universal curves
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866916022178545664 |
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| author | Nadler, David Yun, Zhiwei |
| author_facet | Nadler, David Yun, Zhiwei |
| contents | We construct a conic Lagrangian in the cotangent bundle of the moduli stack of $G$-bundles over the universal curve, restricting to the global nilpotent cone for each curve. It gives rise to a singular support condition suitable for the Betti geometric Langlands correspondence for families of curves and the automorphic gluing functor studied in arXiv: 2105.12318. We also prove a family version of ``local constancy of Hecke operators," generalizing our earlier result. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_01261 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | The global nilpotent cone for universal curves Nadler, David Yun, Zhiwei Algebraic Geometry 14D24 We construct a conic Lagrangian in the cotangent bundle of the moduli stack of $G$-bundles over the universal curve, restricting to the global nilpotent cone for each curve. It gives rise to a singular support condition suitable for the Betti geometric Langlands correspondence for families of curves and the automorphic gluing functor studied in arXiv: 2105.12318. We also prove a family version of ``local constancy of Hecke operators," generalizing our earlier result. |
| title | The global nilpotent cone for universal curves |
| topic | Algebraic Geometry 14D24 |
| url | https://arxiv.org/abs/2603.01261 |