Publications (21)
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…
Constructing non-proxy small test modules for the complete intersection property
Benjamin Briggs, EloÃsa Grifo, Josh Pollitz
A local ring is regular if and only if every finitely generated -module has finite projective dimension. Moreover, the residue field is a test module: is regular if…
Exceptional complete intersection maps of local rings
Srikanth B. Iyengar, Janina C. Letz, Jian Liu +1
This work concerns surjective maps of commutative noetherian local rings with kernel generated by a regular sequence that is part of a minimal generating set for…
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 smal…
A comparison of dg algebra resolutions with prime residual characteristic
Michael DeBellevue, Josh Pollitz
In this article we fix a prime integer and compare certain dg algebra resolutions over a local ring whose residue field has characteristic . Namely, we show that given a clo…
Support varieties over skew complete intersections via derived braided Hochschild cohomology
Luigi Ferraro, W. Frank Moore, Josh Pollitz
In this article we study a theory of support varieties over a skew complete intersection , i.e. a skew polynomial ring modulo an ideal generated by a sequence of regular normal…