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math.AG2026
An obstruction to lifting schemes to spectral schemes
Robert Szafarczyk
-rings are a globalization of -rings. Motivated by their application to obstructing spectral lifts, we develop the theory of animated -rings. They extend the discr…
math.AC2026
A Curious Characterisation of Dedekind Domains
Robert Szafarczyk
We characterise Dedekind rings among not necessarily Noetherian domains by a property of their module homomorphisms. Our proof relies on a homological algebra argument.