Regular nilpotent partial Hessenberg varieties
Regular nilpotent partial Hessenberg varieties
Regular nilpotent Hessenberg varieties are subvarieties of full flag varieties, while regular nilpotent partial Hessenberg varieties are subvarieties of partial flag varieties. In this manuscript we first provide a summand formula and a product formula for the Poincar\'e polynomial of regular nilpotent partial Hessenberg varieties. It is well-known that there …