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The continuation method and the real analyticity of the accessory parameters: the general elliptic case

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 نشر من قبل Pietro Menotti
 تاريخ النشر 2021
  مجال البحث
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 تأليف Pietro Menotti




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We apply the Le Roy-Poincare continuation method to prove the real analytic dependence of the accessory parameters on the position of the sources in Liouville theory in presence of any number of elliptic sources. The treatment is easily extended to the case of the torus with any number of elliptic singularities. A discussion is given of the extension of the method to parabolic singularities and higher genus surfaces.

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