Hacemos un estudio del anillo de las series de potencias formales, para luego definir las curva algebroide plana, Demostramos el teorema de Newton-Puiseux que da como resultados la parametrizacion de una curva plana.
Finalmente estudiamos la resolución de singularidades de una curva plana, usando las transformaciones cuadraticas u explosiones.
Palabras Claves: ANILLO DE SERIES DE POTENCIAS, INDICE DE INTERSECCION DE UNA CURVA PLANA, TRANSFORMACIONES CUADRÁTICAS, RESOLUCION DE SINGULARIDADES / -- We study formality power series ring, after that we are defining plane algebroid curves. We prove of Newton-Puiseux Theorem who us allow to work whith curve planes parametrics.
Finished we can to study the resolution of singularity of plane algebroid curves by a finite number of quadratic transformations.
-- Key Words: RING OF POWER SERIES, INTERSECTION NUMBER OF ALGEBROID CURVES, THE QUADRATIC TRANSFORMATIONS, RESOLUTION OF SINGULARITY
| Identifer | oai:union.ndltd.org:Cybertesis/oai:cybertesis.unmsm.edu.pe:cybertesis/2318 |
| Date | January 2010 |
| Creators | Collantes Sánchez, Frank |
| Publisher | Universidad Nacional Mayor de San Marcos |
| Source Sets | Universidad Nacional Mayor de San Marcos - SISBIB PERU |
| Language | Spanish |
| Detected Language | English |
| Type | info:eu-repo/semantics/bacherlorThesis |
| Source | Universidad Nacional Mayor de San Marcos, Repositorio de Tesis - UNMSM |
| Rights | info:eu-repo/semantics/openAccess |
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