4 papers · 1 filter
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…
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…
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…
Adic curves: stable reduction, skeletons and metric structure
Katharina Hübner, Michael Temkin
We study the structure of adic curves over an affinoid field of arbitrary rank. In particular, quite analogously to Berkovich geometry we classify points on curves, prove a semista…