Modular intersection cohomology of Drinfeld's compactifications

Fuente: arXiv
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Auteurs principaux: Achar, Pramod N., Dhillon, Gurbir, Riche, Simon
Format: Preprint
Publié: 2025
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author Achar, Pramod N.
Dhillon, Gurbir
Riche, Simon
author_facet Achar, Pramod N.
Dhillon, Gurbir
Riche, Simon
contents We compute the dimension of the cohomology of stalks of intersection cohomology complexes on Zastava schemes and Drinfeld compactifications associated with a connected reductive algebraic group $G$, in case the characteristic of the coefficients field $\Bbbk$ is good for $G$. In particular, we show that these dimensions do not depend on the choice of $\Bbbk$.
format Preprint
id arxiv_https___arxiv_org_abs_2505_17953
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Modular intersection cohomology of Drinfeld's compactifications
Achar, Pramod N.
Dhillon, Gurbir
Riche, Simon
Representation Theory
We compute the dimension of the cohomology of stalks of intersection cohomology complexes on Zastava schemes and Drinfeld compactifications associated with a connected reductive algebraic group $G$, in case the characteristic of the coefficients field $\Bbbk$ is good for $G$. In particular, we show that these dimensions do not depend on the choice of $\Bbbk$.
title Modular intersection cohomology of Drinfeld's compactifications
topic Representation Theory
url https://arxiv.org/abs/2505.17953