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Harmonic Functions on the Berkovich
Projective Line

URN to cite this document:
urn:nbn:de:bvb:355-epub-357583
Wanner, Veronika
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Date of publication of this fulltext: 03 Jul 2017 07:17


Abstract (English)

In the first part of the thesis, we study harmonic functions on the Berkovich projective line (following the book of Baker and Rumely "Potential Theory on the Berkovich Projective Line"). In his thesis Thuillier gives a definition of harmonic functions on the analytification of an arbitrary algebraic curve. We show that his definition is indeed an extension of the one given by Baker and Rumely. ...

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Translation of the abstract (German)

Im ersten Teil dieser Arbeit studieren wir harmonische Funktionen auf der projektiven Berkovich Geraden (wobei wir dem Buch "Potential Theory on the Berkovich Projective Line" von Baker und Rumely folgen). Thuillier gibt in seiner Dissertation eine allgemeine Definition von harmonischen Funktionen auf der Analytifizierung von algebraischen Kurven. Wir zeigen, dass seine Definition eine ...

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