The stable trace formula for Igusa varieties, II

Fuente: arXiv
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Main Authors: Meli, Alexander Bertoloni, Shin, Sug Woo
Format: Preprint
Published: 2022
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author Meli, Alexander Bertoloni
Shin, Sug Woo
author_facet Meli, Alexander Bertoloni
Shin, Sug Woo
contents Assuming the trace formula for Igusa varieties in characteristic p, which is known by Mack-Crane in the case of Hodge type with good reduction at p, we stabilize the formula via Kaletha's theory of rigid inner twists when the reductive group in the underlying Shimura datum is quasi-split at p. This generalizes our earlier work under more restrictive hypotheses.
format Preprint
id arxiv_https___arxiv_org_abs_2205_05462
institution arXiv
publishDate 2022
record_format arxiv
spellingShingle The stable trace formula for Igusa varieties, II
Meli, Alexander Bertoloni
Shin, Sug Woo
Number Theory
Algebraic Geometry
11G18 (Primary), 11F72, 11G15, 14G35
Assuming the trace formula for Igusa varieties in characteristic p, which is known by Mack-Crane in the case of Hodge type with good reduction at p, we stabilize the formula via Kaletha's theory of rigid inner twists when the reductive group in the underlying Shimura datum is quasi-split at p. This generalizes our earlier work under more restrictive hypotheses.
title The stable trace formula for Igusa varieties, II
topic Number Theory
Algebraic Geometry
11G18 (Primary), 11F72, 11G15, 14G35
url https://arxiv.org/abs/2205.05462