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math.AG2026
Nilpotent Deformation Theory via Ultrasolid Algebra
Sofía Marlasca Aparicio
Deformation theory studies how varieties and other algebro-geometric objects vary in families. A central part of the subject is formal deformation theory, where one deforms over an…
math.GR2026
Solid Duality for Profinite Groups
Ged Corob Cook, Max Gheorghiu, Sofía Marlasca Aparicio +1
We classify profinite groups that have a Poincaré-like duality between their homology and cohomology. Our proofs work over every profinite coefficient ring, and for profinite as we…