2025/07/15 by Michael Temkin, Temkin, Michael
Psychology · #Algebraic Geometry (math.AG) #FOS: Mathematics #Paranormal Experiences and Beliefs
paper · pdf · doi:10.48550/arxiv.2507.11698
openalex publication_date 2025/07/15 · openalex created_date 2025/10/14 · openalex updated_date 2026/07/28
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, which was established in [Tem25], to general excellent schemes of characteristic zero. So, similarly to McQuillan's approach developed in [McQ20], the approach of [ATW24] is now extended to the generality of all excellent schemes of characteristic zero. In addition, we precisely describe the set of invariants of canonical centers and establish the resolution in the non-embedded form, where one applies simple (stack-theoretical) modifications along subschemes of a special form that we call tubes. In the regular case these are precisely the subschemes corresponding to canonical centers.