5 papers · 1 filter
Cohomological supports of tensor products of modules over commutative rings
Srikanth B. Iyengar, Josh Pollitz, William T. Sanders
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 differenti…
Locally complete intersection maps and the proxy small property
Benjamin Briggs, Srikanth B. Iyengar, Janina C. Letz +1
It is proved that a map of commutative noetherian rings that is essentially of finite type and flat is locally complete intersection if and only is proxy small…
Cohomological supports over derived complete intersections and local rings
Josh Pollitz
A theory of cohomological support for pairs of DG modules over a Koszul complex is investigated. These specialize to the support varieties of Avramov and Buchweitz defined over a c…
Equivariant isomorphisms of Ext and Tor modules
Josh Pollitz
In this article we establish equivariant isomorphisms of Ext and Tor modules over different relative complete intersections. More precisely, for a commutative ring , this paper…
The derived category of a locally complete intersection ring
Josh Pollitz
In this paper, we answer a question of Dwyer, Greenlees, and Iyengar by proving a local ring is a complete intersection if and only if every complex of -modules with finitel…