3 papers
math.AC2026
Free Resolutions of Symmetric Algebras of Ideals with Deviation Two
Neeraj Kumar, Aniruddha Saha, Chitra Venugopal
For a graded ideal I in a graded ring, the deviation of I is defined as the difference between the minimal number of generators of I and its grade. In this article, we provide bigr…
math.AC2026
Test properties of some Cohen-Macaulay modules and criteria for local rings via finite vanishing of Ext or Tor
Souvik Dey, Dipankar Ghosh, Aniruddha Saha
In this article, we show test properties, in the sense of finitely many vanishing of Ext or Tor, of CM (Cohen-Macaulay) modules whose multiplicity and number of generators (resp.,…
math.AC2026
Complexity and curvature of (pairs of) Cohen-Macaulay modules, and their applications
Souvik Dey, Dipankar Ghosh, Aniruddha Saha
The complexity and curvature of a module, introduced by Avramov, measure the growth of Betti and Bass numbers of a module, and distinguish the modules of infinite homological dimen…