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math.AC2025
The embedded deformation problem for monomial ideals
Benjamin Briggs, Eloísa 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…
math.AC2025
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…