Multigraded regularity and the Koszul property
Milena Hering
TL;DR
This paper establishes a criterion linking multigraded regularity to the Koszul property of section rings of ample line bundles, with applications to polytopal semigroup rings.
Contribution
It introduces a new criterion for Koszulness based on multigraded regularity, connecting algebraic and geometric properties.
Findings
Criterion for Koszulness via multigraded regularity
Application to polytopal semigroup rings
Enhanced understanding of section ring properties
Abstract
We give a criterion for the section ring of an ample line bundle to be Koszul in terms of multigraded regularity. We discuss an application to polytopal semigroup rings.
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Taxonomy
TopicsCommutative Algebra and Its Applications · Algebraic Geometry and Number Theory · Algebraic structures and combinatorial models