About of Malgrange Theorem

Authors

  • Percy Braulio Fernández Sánchez PUCP, Facultad de Ciencias e Ingenier´ıa. Lima, Perú.
  • Danny Joel Apaza Nuñez UNALM, Facultad de Ciencias, Lima, Perú

DOI:

https://doi.org/10.15381/pesquimat.v22i2.17236

Keywords:

1-forms, zero divisors, blowing up

Abstract

In this article we will prove of Malgrange Theorem on a subfield K of the complex numbers, this demonstration is due to Moussu. This result is important in the theory of foliations and shows that all holomorphic foliations of Codimension one with a small singular set has holomorphic first integral.

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Published

2019-12-20

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Section

Artículos originales