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Tropical orbit spaces and moduli spaces of tropical curves

  • A main result of this thesis is a conceptual proof of the fact that the weighted number of tropical curves of given degree and genus, which pass through the right number of general points in the plane (resp., which pass through general points in R^r and represent a given point in the moduli space of genus g curves) is independent of the choices of points. Another main result is a new correspondence theorem between plane tropical cycles and plane elliptic algebraic curves.
  • Tropische Orbiträume und Modulräume von tropischen Kurven

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Author:Matthias Herold
URN (permanent link):urn:nbn:de:hbz:386-kluedo-25934
Advisor:Andreas Gathmann
Document Type:Doctoral Thesis
Language of publication:English
Year of Completion:2011
Year of Publication:2011
Publishing Institute:Technische Universität Kaiserslautern
Granting Institute:Technische Universität Kaiserslautern
Acceptance Date of the Thesis:2011/01/25
Date of the Publication (Server):2011/01/26
Faculties / Organisational entities:Fachbereich Mathematik
DDC-Cassification:5 Naturwissenschaften und Mathematik / 510 Mathematik
Licence (German):Standard gemäß KLUEDO-Leitlinien vor dem 27.05.2011