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Moduli descriptions of v-sheaf local models
Abstract
We propose a uniform moduli-theoretic description of the v-sheaf local model 𝕄𝒢,μ for an arbitrary parahoric group scheme 𝒢 and an arbitrary dominant cocharacter μ. Our approach is Tannakian and builds on a new theory of parahoric induced modules. When μ is minuscule, this framework explains the linear-algebraic conditions arising in the theory of local models of Shimura varieties.
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BibTeX
@misc{lourenco2026moduli,
title = {{Moduli descriptions of v-sheaf local models}},
author = {João Lourenço and Timo Richarz and Eva Viehmann and Torsten Wedhorn},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.17878},
eprint = {2610.17878},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.17878},
}
RIS
TY - UNPB
TI - Moduli descriptions of v-sheaf local models
AU - João Lourenço
AU - Timo Richarz
AU - Eva Viehmann
AU - Torsten Wedhorn
PY - 2026
DA - 2026/10/13
PB - arXiv
DO - 10.48550/arxiv.2610.17878
UR - https://arxiv.org/abs/2610.17878
AB - We propose a uniform moduli-theoretic description of the v-sheaf local model 𝕄_𝒢,μ for an arbitrary parahoric group scheme 𝒢 and an arbitrary dominant cocharacter μ. Our approach is Tannakian and builds on a new theory of parahoric induced modules. When μ is minuscule, this framework explains the linear-algebraic conditions arising in the theory of local models of Shimura varieties.
ER -