algebraically closed fields 1model theory 1quasi-projective varieties 1variety reconstruction 1zariski topology 1
From the 1 of 2 linked papers with an AI index.
2 papers
math.AG2026
Group Chunks in Model Theory and Algebraic Geometry
Ronan O'Gorman
We formulate a group chunk theorem in the context of sheaves on sites which generalizes many similar results in model theory and algebraic geometry. Secondly, we develop an algebro…
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…