Subcanonical coordinate rings are Gorenstein
V. Hinich, V.Schechtman
TL;DR
This paper explores the properties of subcanonical coordinate rings, demonstrating they are Gorenstein, by leveraging classical results on syzygies of highest weight orbit closures to strengthen existing theorems.
Contribution
It provides a new proof that subcanonical coordinate rings are Gorenstein, extending previous work on syzygies of orbit closures with classical algebraic results.
Findings
Subcanonical coordinate rings are Gorenstein.
Strengthened the understanding of syzygies in orbit closures.
Connected classical algebraic results with modern geometric properties.
Abstract
Using a classical result of Avramov-Golod we strengthen a recent result of Gorodentsev, Khoroshkin and Rudakov on syzygies of highest weight orbit closure.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Topics in Algebra · Algebraic Geometry and Number Theory