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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.AG2024
Ultrasolid Homotopical Algebra
Sofía Marlasca Aparicio
Solid modules over or , introduced by Clausen and Scholze, are a well-behaved variant of complete topological vector spaces that forms a symmetric monoid…