Uniformizing the moduli stacks of global $G$-Shtukas II
Abstract
We show that the moduli spaces of bounded global $\mathcal{G}$-Shtukas with pairwise colliding legs admit $p$-adic uniformization isomorphisms by Rapoport-Zink spaces. Here $\mathcal{G}$ is a smooth affine group scheme with connected fibers and reductive generic fiber, i.e. we do not assume it to be parahoric, or even hyperspecial. Moreover, we deduce the Langlands-Rapoport Conjecture over function fields in the case of colliding legs using our uniformization theorem.
- Publication:
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arXiv e-prints
- Pub Date:
- September 2023
- DOI:
- arXiv:
- arXiv:2309.17441
- Bibcode:
- 2023arXiv230917441H
- Keywords:
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- Mathematics - Number Theory;
- Mathematics - Algebraic Geometry;
- 11G09;
- 11G18;
- 14L05
- E-Print:
- 53 pages