Olivier Piltant

activity

19992023

most citedResolution of Singularities of Arithmetical Threefolds II

13 citations · 13 across the 4 of their papers we have counts for

collaborators

4 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.AG2014★ 13 cited

Resolution of Singularities of Arithmetical Threefolds II

Vincent Cossart, Olivier Piltant

We prove Grothendieck's Conjecture on Resolution of Singulari-ties for quasi-excellent schemes X of dimension three and of arbitrary characteristic. This applies in particular to X…

math.AG2012

Characteristic polyhedra of singularities without completion

Vincent Cossart, Olivier Piltant

Let $(R, M, k)$ be a regular local G-ring with regular system of parameters $(u_{1}, \dots, u_{d}, y)$ . We prove that the Hironaka characteristic polyhedron $Δ (f; u_{1}, \dots, u_{d})$ , $f \…

math.AG1999

Monomial resolutions of morphisms of algebraic surfaces

Steven Dale Cutkosky, Olivier Piltant

Suppose that $f : Y \to X$ 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…