Quotients of Koszul algebras with almost linear resolution

2011/03/18 by Jon Eivind Vatne, Vatne, Jon Eivind · 1 citation
Mathematics · #16S37 (Primary) 14M12 (Secondary) #Advanced Topics in Algebra #Algebraic Geometry (math.AG) #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Rings and Algebras (math.RA)

paper · pdf · doi:10.48550/arxiv.1103.3572

openalex publication_date 2011/03/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We compute the Hilbert series, and the graded vector space structure, of Ext-algebras of quotients of Koszul algebras with almost linear resolution. The example of the generic determinantal varieties is treated in detail.

Citations

• Koszul duality for operads

Cited by

• Quotients of Koszul algebras and 2-d-determined algebras

Related

• Short Koszul modules
• The Ext algebra and a new generalisation of D-Koszul algebras
• Canonical Resolutions over Koszul Algebras
• Where are the N-Koszul algebras of finite global dimension?
• Koszulity of algebras with non-pure resolutions