• Corpus ID: 245668905

On the $p$-adic theory of local models

@inproceedings{Anschutz2022OnT,
  title={On the \$p\$-adic theory of local models},
  author={Johannes Anschutz and Ian Gleason and Joao N. P. Lourencco and Timo Richarz},
  year={2022}
}
We prove the Scholze--Weinstein conjecture on the existence and uniqueness of local models of local Shimura varieties and the test function conjecture of Haines--Kottwitz in this setting. In order to achieve this, we establish the specialization principle for well-behaved $p$-adic kimberlites, show that these include the v-sheaf local models, determine their special fibers using hyperbolic localization for the \'etale cohomology of small v-stacks and analyze the resulting specialization… 

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