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math.AC2026
Derived equivalences via Tate resolutions
K. Ganapathy, Sarang Sane
For any finite sequence of elements in a commutative noetherian ring , we show that for , the natural map from the Koszul complex $K(s_1^n, \ldots ,…
math.AC2025
Ideal-theoretic non-noetherianity of polynomial functors in positive characteristic
Karthik Ganapathy
A long-standing open problem in representation stability is whether every finitely generated commutative algebra in the category of strict polynomial functors satisfies the noether…
math.AC2024
Non-noetherian GL-algebras in characteristic two
Karthik Ganapathy
Over fields of characteristic two, we construct an infinite ascending chain of GL-stable ideals in the coordinate ring of infinite skew-symmetric matrices. This construction provid…