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math.AG2018
Generalized Loose Edge Factorization Theorems
Bernd Schober
We extend a factorization theorem by Gwoździewicz and Hejmej from the ring of formal power series to any complete regular local ring . More precisely, let and assu…
math.AG2018
Invariance of Hironaka's characteristic polyhedron
Vincent Cossart, Uwe Jannsen, Bernd Schober
We show that given a face of Hironaka's characteristic polyhedron, it does only depend on the singularity and a flag defined by the linear form determining the face. As a consequen…
math.AG2017
Partial local resolution by characteristic zero methods
Bernd Schober
We discuss to what extent the local techniques of resolution of singularities over fields of characteristic zero can be applied to improve singularities in general. For certain int…