AI & Computingarticle2026-09-07

Resolution of singularities for the dynamical mathematician

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Abstract

I begin by explaining to non-specialists why resolution of singularities in characteristic 0 works. Then I go into some ideas telling how it actually works. I finish with a brief discussion of related results on foliations.

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View paper (DOI)Open access version OpenAlexPublications mathématiques de BesançonPublished 2026-09-07

Authors: Dan Abramovich

Institutions: Brown University

Homotopy and Cohomology in Algebraic Topology Advanced Differential Equations and Dynamical Systems Algebraic Geometry and Number Theory