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- Title
Cohomological supports of tensor products of modules over commutative rings.
- Authors
Iyengar, Srikanth B.; Pollitz, Josh; Sanders, William T.
- Abstract
This works concerns cohomological support varieties of modules over commutative local rings. The main result is that the support of a derived tensor product of a pair of differential graded modules over a Koszul complex is the join of the supports of the modules. This generalizes, and gives another proof of, a result of Dao and the third author dealing with Tor-independent modules over complete intersection rings. The result for Koszul complexes has a broader applicability, including to exterior algebras over local rings.
- Subjects
TENSOR products; LOCAL rings (Algebra); HOMOLOGICAL algebra; COMMUTATIVE rings
- Publication
Research in the Mathematical Sciences, 2022, Vol 9, Issue 2, p1
- ISSN
2522-0144
- Publication type
Article
- DOI
10.1007/s40687-022-00321-7