Linear strands of multigraded free resolutions
Michael K. Brown, Daniel Erman
TL;DR
This paper introduces a new concept of linear strands for multigraded free resolutions and extends Green's Linear Syzygy Theorem to the multigraded setting, broadening the theoretical framework.
Contribution
It presents the first multigraded generalization of Green's Linear Syzygy Theorem, expanding the understanding of free resolutions in multigraded algebra.
Findings
Defined linear strands for multigraded free resolutions
Proved a multigraded version of Green's Linear Syzygy Theorem
Enhanced the theoretical framework of multigraded algebra
Abstract
We develop a notion of linear strands for multigraded free resolutions, and we prove a multigraded generalization of Green's Linear Syzygy Theorem.
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Taxonomy
TopicsAdvanced Topology and Set Theory · Point processes and geometric inequalities · Advanced Differential Equations and Dynamical Systems