DISCRIMINANT METHOD FOR MONODROMÍA HOMOLOGICAL OF SINGULARITIES ISOLATED.Author:
ESCARIO GIL MARIO.
Year:
2005.
University:
ZARAGOZA [
www.unizar.es].
Place of defense: FACULTAD DE CIENCIAS. EDIF. MATEMÁTICAS.
Place of preparation: DPTO. DE MATEMÁTICAS.
Summary: BUILD METHOD IS AN EFFECTIVE FOR THE CALCULATION OF THE MONODROMÍA HOMOLÓGICA IN THE EVENT POLINOMIOS IN TWO VARIABLES THAT ARE COMPLEX MODERADOS. THE MONODROMÍA IS A INVARIANTE TOPOLÓGICO OF SUCH POLINOMIOS. METHOD IS THE CALL AT WORK METHOD OF DISCRIMINANTE AND THAT MAKES A STRONG USE OF THE CURVE DISCRIMINANTE ASSOCIATED WITH THE POLAR IMPLEMENTATION OF POLINOMIO. CALCULATION OF THE POSSIBILITY OF MONODROMÍA HOMOLÓGICA MAKES POSSIBLE RAISE THE STUDY TOPOLÓGICO OF POLINOMIOS CONJUGADOS BY ISOMORFISMO OF GALOIS. BY THE LIKELIHOOD OF SUCH ISOMORFISMO BOTH POLINOMIOS HAVE THE SAME PROPERTIES ALGEBRAICAS SO ARE INDISTINGUIBLES BY INVARIANTES THAT DEPENDAN OF THESE PROPERTIES. SHOWN AT WORK TWO POLINOMIOS OF THIS KIND TO BE DIFERENCIAN TOPOLÓGICAMENTE THROUGH THE CALCULATION OF THEIR MONODROMÍAS HOMOLÓGICAS. ANOTHER APPLICATION IS IN COMBINATION WITH THE CALL METHOD GABRIÉLOV, THE CALCULATION OF PARENTS OF INTERSECCIÓN OF SINGULARIDADES AISLADAS SURFACE. IN THIS CASE SHOWN IN THE WORK TO BE TOTALLY THESE PARENTS FOR DETERMINING THE SINGULARIDADES OF IOMDINE SURFACE ARE A TYPE OF SINGULARIDAD SURFACE GENÉRICA. FINALLY THE EFFECTIVENESS OF THE METHOD IS REFLEJA THROUGH THE CONSTRUCTION OF A COMPUTER PROGRAM TO ALLOW USE THE METHOD OF DISCRIMINANTE IN CASES THAT ARE HIGH COMPLEXITIES OF COMPUTER.
