algebraically closed fields 1model theory 1quasi-projective varieties 1variety reconstruction 1zariski topology 1
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math.AG2026
Topological reconstruction theorems over uncountable algebraically closed fields
Benjamin Castle, Ronan O'Gorman
The paper extends reconstruction theorems that recover algebraic varieties from their Zariski topological spaces to arbitrary quasi‑projective varieties over uncountable algebraica…
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…