On constructive desingularization

• Autores: Orlando Villamayor U.
• Localización: Journal of symbolic computation, ISSN 0747-7171, Vol. 39, Nº 3, 2005, págs. 465-491
• Idioma: inglés
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• Resumen

  • 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