• Home
  • UCSC journals portal
  • ANID repository
  • UCSC Thesis Repository
  • English
  • Español
  • Log In
    Have you forgotten your password?
  1. Home
  2. Productividad Científica
  3. Publicaciones Científicas
  4. Number of zeros of complete abelian integrals for a primitive rational polynomial with non-trivial global monodromy
 
Options
Number of zeros of complete abelian integrals for a primitive rational polynomial with non-trivial global monodromy
Dr. Uribe-Santibañez, Marco 
Facultad de Ingeniería 
Rebollo-Perdomo, Salomón
10.1007/s00574-019-00172-x
Springer Nature
2020
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.
Abelian integral
Limit cycle
Hilbert’s 16th problem
Historial de mejoras
Proyecto financiado por: