5 citations · 6 across the 9 of their papers we have counts for
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A strictly decreasing invariant for resolution of singularities in dimension two
Vincent Cossart, Bernd Schober
We construct a local invariant for resolution of singularities of 2-dimensional excellent Noetherian schemes with boundary. We prove that the invariant strictly decreases at every…
Characteristic polyhedra of singularities without completion -- Part II
Vincent Cossart, Bernd Schober
Hironaka's characteristic polyhedron is an important combinatorial object reflecting the local nature of a singularity. We prove that it can be determined without passing to the co…
A polyhedral approach to the invariant of Bierstone and Milman
Bernd Schober
Based on previous work by the author we deduce that the invariant introduced by Bierstone and Milman in order to give a proof for constructive resolution of singularities in charac…
Idealistic exponents: Tangent cone, ridge, characteristic polyhedra
Bernd Schober
We study Hironaka's idealistic exponents over . We give an idealistic interpretation of the tangent cone, the directrix, and the ridge. The ma…