Dan-Cheng Lu

Multigraded Local Cohomology Categories: Homological Structure and Canonical Sources

Let $S=\kk[x_1,\ldots,x_n]$ with its standard $\mathbb N^n$-grading. For $0\le i<n$, we identify the finite-box local-cohomology category $\mathcal H_i(\mathbf t)$ with the representation category of the upper support poset $U_{n-i}(\mathbf t)$. The local-cohomology functor admits an exact functorial section selecting...