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math.AG2023
Desingularization of generic symmetric and generic skew-symmetric determinantal singularities
Sabrina Alexandra Gaube, Bernd Schober
We discuss how to resolve generic skew-symmetric and generic symmetric determinantal singularities. The key ingredients are (skew-) symmetry preserving matrix operations in order t…
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…