Desingularización de superficies casi ordinarias irreducibles
The aim of this thesis is to describe the resolution (partial and strict) of irreducible quasi ordinary surfaces (algebroids), by Lipman's approach. To achieve our goal, we de ne to the quasi ordinary surfaces (algebroids) and describe their parametrization by quasi ordinary branches, we als...
| Autor Principal: | Paucar Rojas, Rina Roxana |
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| Formato: | Tesis de Maestría |
| Idioma: | Español |
| Publicado: |
Pontificia Universidad Católica del Perú
2018
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| Materias: | |
| Acceso en línea: |
http://tesis.pucp.edu.pe/repositorio/handle/123456789/9952 |
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| Sumario: |
The aim of this thesis is to describe the resolution (partial and strict) of
irreducible quasi ordinary surfaces (algebroids), by Lipman's approach.
To achieve our goal, we de ne to the quasi ordinary surfaces (algebroids)
and describe their parametrization by quasi ordinary branches, we also de ne
the quasi ordinary rings, local rings of the quasi ordinary irreducible surfaces,
and we study the relationship that exists between the tangent cone and singular
locus of a quasi ordinary ring (invariants that appear in these resolutions)
and the distinguished pairs of a quasi ordinary normalized branch that represents
this ring. Also, we de ne the special transforms of a quasi ordinary ring
and show that they are again quasi ordinary. We conclude with an example
of these resolutions. |
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