Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9652884 | Journal of Symbolic Computation | 2005 | 27 Pages |
Abstract
In this note we sketch the proof of desingularization over fields of characteristic zero in [Encinas, S., Villamayor, O., A new theorem of desingularization over fields of characteristic zero, Preprint: arXiv:math.AG/0101208]; and we refer to [Bravo, A., Encinas, S., Villamayor, O., A simplified proof of desingularization and applications. Revista Matemática Iberomericana (in press)], or [Villamayor, O., Desingularization: An introduction for the young algebraist (Notes)], for full details. This proof, defined in terms of an algorithm, provides a conceptual simplification over that of Hironaka. In fact Hironaka's notions of standard basis, Hilbert Samuel functions, and normal flatness are avoided.
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Authors
Orlando Villamayor U.,