2009/04/18 by Luchézar L. Avramov, Luchezar L. Avramov, Avramov, Luchezar L. +4
Mathematics · #13D40 #16S37 #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #Commutative Algebra (math.AC) #Commutative Algebra and Its Applications #FOS: Mathematics #math.AC #msc:13D40 #msc:16S37
paper · pdf · doi:10.48550/arxiv.0904.2843
13 pages
arxiv created 2009/04/18 · openalex publication_date 2009/04/18 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
For R=Q/J with Q a commutative graded algebra over a field and J non-zero, we relate the slopes of the minimal resolutions of R over Q and of k=R/R+ over R. When Q and R are Koszul and J1=0 we prove TorQi(R,k)j=0 for j>2i, for each non-negative integer i, and also for j=2i when i>dim Q-dim R and pdQR is finite.