Article
Hironaka's characteristic polygon and effective resolution of surfaces
Author/s | Piedra Sánchez, Ramón
Tornero Sánchez, José María |
Department | Universidad de Sevilla. Departamento de álgebra |
Publication Date | 2007-03-01 |
Deposit Date | 2016-06-07 |
Published in |
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Abstract | Hironaka’s concept of characteristic polyhedron of a singularity has been one of the most powerful and fruitful ideas of the last decades in singularity theory. In fact, since then combinatorics have become a major tool ... Hironaka’s concept of characteristic polyhedron of a singularity has been one of the most powerful and fruitful ideas of the last decades in singularity theory. In fact, since then combinatorics have become a major tool in many important results. However, this seminal concept is still not enough to cope with some effective problems: for instance, giving a bound on the maximum number of blowing–ups to be performed on a surface before its multiplicity decreases. This short note shows why such a bounding is not possible, at least with the original definitions. |
Project ID. | BFM2000-1523
FQM 218 MTM2004–07203–C02–01 |
Citation | Piedra Sánchez, R. y Tornero Sánchez, J.M. (2007). Hironaka's characteristic polygon and effective resolution of surfaces. Comptes Rendus. Mathematique, 344 (5), 309-312. |
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