Publicación: NUMBER OF ZEROS OF COMPLETE ABELIAN INTEGRALS FOR A PRIMITIVE RATIONAL POLYNOMIAL WITH NON-TRIVIAL GLOBAL MONODROMY
Fecha
2019
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BULLETIN OF THE BRAZILIAN MATHEMATICAL SOCIETY
Resumen
WE PROVIDE EXPLICIT LOWER AND UPPER BOUNDS FOR THE MAXIMUM NUMBER OF ISOLATED ZEROS OF THE COMPLETE ABELIAN INTEGRAL ASSOCIATED WITH A RATIONAL POLYNOMIAL, WITH NON-TRIVIAL GLOBAL MONODROMY, AND A POLYNOMIAL 1-FORM OF DEGREE N. MOREOVER, WE OBTAIN THE EXPLICIT FORM OF THE RELATIVE COHOMOLOGY OF THE POLYNOMIAL 1-FORMS WITH RESPECT TO THE RATIONAL POLYNOMIAL.
