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Dr. Uribe-Santibañez, Marco
Nombre de publicación
Dr. Uribe-Santibañez, Marco
Nombre completo
Uribe Santibañez, Marco
Facultad
Email
muribe@ucsc.cl
ORCID
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Publication
Number of zeros of complete abelian integrals for a primitive rational polynomial with non-trivial global monodromy
2020, Dr. Uribe-Santibañez, Marco, Rebollo-Perdomo, Salomón
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.