4 papers · 1 filter
Classifying thick subcategories over a Koszul complex via the curved BGG correspondence
Jian Liu, Josh Pollitz
In this work we classify the thick subcategories of the bounded derived category of dg modules over a Koszul complex on any list of elements in a regular ring. This simultaneously…
The embedded deformation problem for monomial ideals
Benjamin Briggs, EloÃsa Grifo, Josh Pollitz
This article is concerned with homological properties of local or graded rings whose defining relations are monomials on some regular sequence. The main result of the article posit…
Lower bounds on Loewy lengths of modules of finite projective dimension
Nawaj KC, Josh Pollitz
This article is concerned with nonzero modules of finite length and finite projective dimension over a local ring. We show the Loewy length of such a module is larger than the regu…
Koszul homomorphisms and universal resolutions in local algebra
Benjamin Briggs, James C. Cameron, Janina C. Letz +1
We define a local homomorphism to be Koszul if its derived fiber is formal, and if is Koszul in the cla…