Work

Multigraded Local Cohomology Categories: Homological Structure and Canonical Sources

Year: 2026
Type: preprint
Abstract: Let $S=\kk[x_1,\ldots,x_n]$ with its standard $\mathbb N^n$-grading, and let $\mathfrak m=(x_1,\ldots,x_n)$. We study the essential images of the functors $M\mapsto H^i_{\mathfrak m}(M(-\mathbf1))$ on categories of positively determined $S$-modules, where $\mathbf1=(1,\ldots,1)$. For a fixed determining bound $\mathbf t\in\mathbb N^n$ and $0\le i
Author: Lu, Dancheng
Language: English
Open Access status: green
OpenAlex ID: W7212233318
Cites: 8
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Related to: 10