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

التفاصيل البيبلوغرافية
العنوان: On Perverse sheaves of a Coxeter hyperplane arrangement of type $\mathcal{A}_n$
المؤلفون: Dubey, Umesh V, Sarkar, Subham
سنة النشر: 2022
المجموعة: Mathematics
مصطلحات موضوعية: Mathematics - Algebraic Geometry, 20F55, 32S22, 32S60
الوصف: 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.
Comment: Comments are welcome
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/2211.09525
رقم الأكسشن: edsarx.2211.09525
قاعدة البيانات: arXiv