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math.AG2026
Topological reconstruction theorems over uncountable algebraically closed fields
Benjamin Castle, Ronan O'Gorman
Working over uncountable algebraically closed fields, we extend the theorems of Kollár-Lieblich-Olsson-Sawin on reconstructing varieties from their Zariski topological spaces. In p…
math.AG2026
A curve and its abstract generalized Jacobian
Benjamin Castle, Ishai Dan-Cohen, Assaf Hasson
To a smooth proper curve over a field equipped with a -point and an effective divisor coprime to , one may associate the abstract group $J_{\mathfra…