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math.AC2026
Hook algebras and determinantal varieties
Steven V Sam, Keller VandeBogert, Jerzy Weyman
In characteristic zero, we prove that the Tor algebras of the generic, symmetric, and skew-symmetric determinantal rings are Koszul with respect to a natural regrading. In particul…
math.AC2026
Carlsson's Conjecture and the Generalized Total Rank Conjecture in Characteristic Two
Keller VandeBogert
We prove the generalized total rank conjecture over regular rings in characteristic : if is a regular Noetherian domain of characteristic and is a differential -m…