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math.AG2026
A simple proof for Hochster's Theorem
Stefan Schröer
We give a conceptual proof for Hochster's Theorem, which asserts that each spectral space is homeomorphic to the spectrum of a ring. Given a ground field and a spectral space, our…
math.AG2022★ 1 cited
The structure of regular genus-one curves over imperfect fields
Stefan Schröer
Working over imperfect fields, we give a comprehensive classification of genus-one curves that are regular but not geometrically regular, extending the known case of geometrically…
math.AG2021
Algebraic spaces that become schematic after ground field extension
Stefan Schröer
We construct examples of non-schematic algebraic spaces that become schemes after finite ground field extensions.