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math.AG2014
Equisingularity in one parameter families of generically reduced curves
Javier Fernández de Bobadilla, Jawad Snoussi, Mark Spivakovsky
We explore some equisingularity criteria in one parameter families of generically reduced curves. We prove the equivalence between Whitney regularity and Zariski's discriminant cri…
math.AC2014
The analogue of Izumi's Theorem for Abhyankar valuations
Guillaume Rond, Mark Spivakovsky
A well known theorem of Shuzo Izumi, strengthened by David Rees, asserts that all the divisorial valuations centered in an analytically irreducible local noetherian ring are linear…