2 papers
math.AG2023
Constancy of the Hilbert-Samuel function
Vincent Cossart, Olivier Piltant, Bernd Schober
The Hilbert-Samuel function and the multiplicity function are fundamental locally defined invariants on Noetherian schemes. They have been playing an important role in desingulariz…
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…