3 papers
math.AC2026
Intersection theorems over DG-rings revisited
Luigi Ferraro, Zachary Nason
In this work we generalize two recently proved intersection theorems for DG-rings. The Derived Improved New Intersection Theorem concerns the length of semi-free DG-modules over DG…
math.AC2026
Amplitude inequalities for local (co)homology
Lars Winther Christensen, Luigi Ferraro, Henrik Holm
Peskine and Szpiro's Intersection Theorem for finitely generated modules was generalized by Foxby to all modules and bounded complexes of such. We strengthen Foxby's result and pro…
math.AC2026
The derived depth formula for modules of finite quasi-projective dimension
Luigi Ferraro, Justin Lyle
Let be a commutative Noetherian local ring. We prove a variety of new formulae for modules of finite quasi-projective or finite quasi-injective dimension. These include the Der…