Asymptotic behavior of Ext for pairs of modules of large complexity over graded complete intersections

David A. Jorgensen, Liana M. Şega, Peder Thompson

Let $M$ and $N$ be finitely generated graded modules over a graded complete intersection $R$ such that ${\mathrm{Ext}}_R^i(M,N)$ has finite length for all $i\gg 0$. We show tha…