MEROMORPHIC FIRST INTEGRALS: SOME EXTENSION RESULTS

DOI 2 Citations 15 References
  • MOL ROGÉRIO S.
    Departamento de Matemática-ICEx, Universidade Federal de Minas Gerais

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Abstract

We present sufficient conditions of extending a meromorphic function which is defined outside an analytic compact curve in a complex surface. The function we deal with is a first integral for a holomorphic foliation in the whole surface. The key to extension is the study of singularities of the foliation on the complex curve.

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Details 詳細情報について

  • CRID
    1390001205114412032
  • NII Article ID
    110000026972
  • NII Book ID
    AA00863953
  • DOI
    10.2748/tmj/1113247181
  • ISSN
    2186585X
    00408735
  • MRID
    1878929
  • Text Lang
    en
  • Data Source
    • JaLC
    • Crossref
    • CiNii Articles
  • Abstract License Flag
    Disallowed

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