On Perverse sheaves of a Coxeter hyperplane arrangement of type A_n

2022/11/17 by Dubey, Umesh V, Sarkar, Subham
#20F55 #32S22 #32S60 #Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.2211.09525

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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