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math.AC2026
When is Frobenius epic?
Javier Carvajal-Rojas, Rankeya Datta, Noah Olander +1
We prove that a homomorphism of rings of prime characteristic is b-nil formally unramified if and only if its relative Frobenius is an epimorphism. We specialize this result under…
math.AG2026
Adjoint test modules along Cohen--Macaulay morphisms
Javier Carvajal-Rojas, Axel Stäbler
We provide a transformation rule for adjoint test modules along Cohen--Macaulay maps between Cohen--Macaulay varieties that have -rational geometric fibers. This is, in part, an…
math.AG2026
Pulling back Cartier structures along regular maps
Javier Carvajal-Rojas, Axel Stäbler
We introduce a framework for pulling back Cartier modules and their associated invariants along regular -finite morphisms. To achieve this, we construct a relative Cartier isomo…