Modular intersection cohomology of Drinfeld's compactifications

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 $\Bbbk$.

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ArXiv.org
Published
2025-05-23
Primary Topic
Homotopy and Cohomology in Algebraic Topology
Type
article
Field-Weighted Citation Impact
0.00

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article

Modular intersection cohomology of Drinfeld's compactifications

Simon Riche, Gurbir Dhillon, Pramod N. Achar
ArXiv.org
Homotopy and Cohomology in Algebraic Topology
article

Modular intersection cohomology of Drinfeld's compactifications

Simon Riche, Gurbir Dhillon, Pramod N. Achar
article en

Abstract

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 $\Bbbk$.

ArXiv.org
UCLA Health (US), Laboratoire de Mathématiques Blaise Pascal (FR)
National Science Foundation, European Commission
Openalex Percentile: Top 66%
Homotopy and Cohomology in Algebraic Topology
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