A remark on descent for Coxeter groups

Gus Lonergan

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arXiv · 1707.01156

A remark on descent for Coxeter groups

Gus Lonergan

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Abstract

Let $\Gamma$ be a finite Coxeter group with reflection representation $R$. We show that a $\Gamma$-equivariant quasicoherent sheaf on $R$ descends to the quotient space $R//\Gamma$ if it descends to the quotient space $R//\langle s_i\rangle$ for every simple reflection $s_i\in \Gamma$.

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BibTeX RIS

Gus Lonergan. 2017-07-04. A remark on descent for Coxeter groups. https://arxiv.org/abs/1707.01156

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