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math.AC2026
Some non-principal rigid ideals in Gorenstein domains of dimension one
Lars Winther Christensen, Alex Gerko, Srikanth B. Iyengar
We discuss an example of a rigid non-principal ideal in a one dimensional (commutative) Gorenstein domain, which contradicts a conjecture of C. Huneke and R. Wiegand. The construct…
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
G-levels of perfect complexes
Lars Winther Christensen, Antonia Kekkou, Justin Lyle +2
We prove that a commutative noetherian ring is Gorenstein of dimension at most if is an upper bound on the G-levels of perfect -complexes. For local, we prove…