3 papers
math.AG2026
Dream resolution and principalization II: excellent schemes
Michael Temkin
This is the second paper in a project on dream (or memoryless) principalization and resolution methods. It extends this theory from the case of schemes with enough derivations, whi…
math.AG2025
Small extensions of analytic fields
Michael Temkin
An extension of analytic (i.e. real valued complete) fields is called small if it is topologically-algebraically generated by finitely many elements. We prove that this prope…
math.AG2025
Dream resolution and principalization I: enough derivations
Michael Temkin
This is a first paper in a project on extending the dream principalization and resolution methods of [ATW24], [McQ20] and [Que22] to quasi-excellent, logarithmic and relative setti…