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Global Injectivity of Polynomial Maps Via Vector Fields

In: Automorphisms of Affine Spaces

Author

Listed:
  • Anna Cima

    (Universitat Politècnica de Catalunya, Departament de Matematica Aplicada II, E.T.S d’Enginyers Industrials de Terrassa)

  • Armengol Gasull

    (Universitat Autònoma de Barcelona, Departament de Matemàtiques, Edifici Cc)

  • Jaume Llibre

    (Universitat Autònoma de Barcelona, Departament de Matemàtiques, Edifici Cc)

  • Francesc Mañosas

    (Universitat Autònoma de Barcelona, Departament de Matemàtiques, Edifici Cc)

Abstract

This paper deals with the Real Jacobian Problem (RJP) and the Markus Yamabe Conjecture (MYC) for polynomial vector fields. We prove injectivity for a big subclass of vector fields. Concerning the MYC we get some partial results also for a big subclass of polynomial vector fields.

Suggested Citation

  • Anna Cima & Armengol Gasull & Jaume Llibre & Francesc Mañosas, 1995. "Global Injectivity of Polynomial Maps Via Vector Fields," Springer Books, in: Arno van den Essen (ed.), Automorphisms of Affine Spaces, pages 105-123, Springer.
    • Handle: RePEc:spr:sprchp:978-94-015-8555-2_6
    DOI: 10.1007/978-94-015-8555-2_6
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