Local Duality for Bigraded Modules
Juergen Herzog, Ahad Rahimi
TL;DR
This paper investigates local cohomology of finitely generated bigraded modules over standard bigraded rings, establishing a duality theorem and exploring various applications in the context of algebraic structures.
Contribution
It introduces a duality theorem for local cohomology of bigraded modules, expanding the theoretical framework in algebraic geometry and commutative algebra.
Findings
Established a duality theorem for bigraded modules
Applied duality to various algebraic problems
Enhanced understanding of local cohomology in bigraded settings
Abstract
In this paper we study local cohomology of finitely generated bigraded modules over a standard bigraded ring with respect to the irrelevant bigraded ideals and establish a duality theorem. Several applications are considered.
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Taxonomy
TopicsRings, Modules, and Algebras · Commutative Algebra and Its Applications · Polynomial and algebraic computation