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Resolution - Some Theoretical Background
Resolution in characteristic 0:
ca. 1890: |
Curve singularities (Kronecker,
Noether, Brill, ...)
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ca. 1935: |
Surface singularities (Walker,
Zariski, ...)
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1964: |
General case (Hironaka)
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1989 ff: |
Constructive proofs for general case (Villamayor, Bierstone/Milman)
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In positive characteristic the general question is still
open -- partial results are given, e.g., by Abhyankar, Lipman, A.J. de Jong.
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