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math.AG2002
Strong resolution of singularities in characteristic zero
S. Encinas, H. Hauser
We present a concise proof for the existence and construction of a {\it strong resolution of excellent schemes} of finite type over a field of characteristic zero. Our proof is bas…
math.AG2001
A Proof of Desingularization over fields of characteristic zero
S. Encinas, O. Villamayor
We present a proof of embedded desingularization for closed subschemes which does not make use of Hilbert-Samuel function and avoids Hironaka's notion of normal flatness. This proo…
math.AG2000
On Algorithmic Equiresolution and Stratification of Hilbert Schemes
S. Encinas, A. Nobile, O. Villamayor
Given an algorithm of resolution of singularities satisfying certain conditions (``good algorithms''), natural notions of simultaneous algorithmic resolution, or equiresolution, fo…