2022/03/14 by Srikanth B. Iyengar, Iyengar, Srikanth B., Josh Pollitz +3 · 1 citation
Mathematics · #13D02 #13D07 #13H10 (secondary) #16E45 (primary) #Algebraic structures and combinatorial models #Commutative Algebra (math.AC) #Commutative Algebra and Its Applications #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology
paper · pdf · doi:10.48550/arxiv.2203.07174
openalex publication_date 2022/03/14 · openalex created_date 2022/05/05 · openalex updated_date 2026/07/28
This works concerns cohomological support varieties of modules over\ncommutative local rings. The main result is that the support of a derived\ntensor product of a pair of differential graded modules over a Koszul complex\nis the join of the supports of the modules. This generalizes, and gives another\nproof of, a result of Dao and the third author dealing with Tor-independent\nmodules over complete intersection rings. The result for Koszul complexes has a\nbroader applicability, including to exterior algebras over local rings.\n