Lyubeznik numbers and injective dimension in mixed characteristic
Lyubeznik numbers and injective dimension in mixed characteristic
We investigate the Lyubeznik numbers and the injective dimension of local cohomology modules of finitely generated $\mathbb {Z}$-algebras. We prove that the mixed characteristic Lyubeznik numbers and the standard ones agree locally for almost all reductions to positive characteristic. Additionally, we address an open question of Lyubeznik that asks whether …