Tangent blow-ups lift non-manifold geometry into a product space with the Grassmannian of tangent planes, enabling well-defined discretized differential operators on singular data.
Nash blowup fails to resolve singularities in dimensions four and higher
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Tangent Blow-Ups for Processing Non-Manifold Geometry
Tangent blow-ups lift non-manifold geometry into a product space with the Grassmannian of tangent planes, enabling well-defined discretized differential operators on singular data.