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.AG1999
Monomial resolutions of morphisms of algebraic surfaces
Steven Dale Cutkosky, Olivier Piltant
Suppose that is a proper, dominant, tamely ramified morphism of algebraic surfaces, over a perfect field. We show that it is possible to perform sequences of monoidal t…