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arXiv · 2211.09525

On Perverse sheaves of a Coxeter hyperplane arrangement of type $\mathcal{A}_n$

Umesh V Dubey·Subham Sarkar
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Abstract

Kapranov and schechtman gave quiver description of perverse sheaves on real hyperplane arrangements. We used this description to relate the perverse sheaves on Coxeter hyperplane arrangements of type $\mathcal A_n$ for different values of $n$. As a consequence we prove that the simple perverse sheaves whose stalk on open cells are zero are induced from the perverse sheaves on lower dimension arrangements.

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Umesh V Dubey, Subham Sarkar. 2022-11-17. On Perverse sheaves of a Coxeter hyperplane arrangement of type $\mathcal{A}_n$. https://arxiv.org/abs/2211.09525

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