2 papers
math.AC2026
Complexity and curvature of pairs of Burch modules and ideals
Souvik Dey, Dipankar Ghosh, Mouma Samanta
The complexity and curvature of a module were first introduced by Avramov to distinguish modules of infinite homological dimension. Later, Avramov-Buchweitz extended the notion of…
math.AC2026
Auslander-Reiten conjecture for modules whose (self) dual has finite complete intersection dimension
Dipankar Ghosh, Mouma Samanta
Over a commutative Noetherian ring, we show that the Auslander-Reiten conjecture holds true for the class of (finitely generated) modules whose dual has finite complete intersectio…