2 papers
math.AC2026
Homological dimensions of derived Hom complexes
Lars Winther Christensen, Andrew J. Soto Levins
Let R be a commutative noetherian local ring and M and N be R-complexes with finitely generated homology. We prove that formulas for the homological dimensions of the derived Hom c…
math.AC2025
On the Ext Analog of the Euler Characteristic
Benjamin Katz, Andrew J. Soto Levins
The Euler form is an Ext analog of the Euler characteristic, and in this paper we study the Euler form and give some applications. The first being a question of Jorgensen, which bo…