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Moduli spaces of rational tropical stable maps into smooth tropical varieties

  • This thesis is concerned with tropical moduli spaces, which are an important tool in tropical enumerative geometry. The main result is a construction of tropical moduli spaces of rational tropical covers of smooth tropical curves and of tropical lines in smooth tropical surfaces. The construction of a moduli space of tropical curves in a smooth tropical variety is reduced to the case of smooth fans. Furthermore, we point out relations to intersection theory on suitable moduli spaces on algebraic curves.

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Author:Dennis Ochse
URN (permanent link):urn:nbn:de:hbz:386-kluedo-35289
Advisor:Andreas Gathmann
Document Type:Doctoral Thesis
Language of publication:English
Publication Date:2013/06/04
Year of Publication:2013
Publishing Institute:Technische Universität Kaiserslautern
Granting Institute:Technische Universität Kaiserslautern
Acceptance Date of the Thesis:2013/05/24
Date of the Publication (Server):2013/06/05
Number of page:133
Faculties / Organisational entities:Fachbereich Mathematik
DDC-Cassification:5 Naturwissenschaften und Mathematik / 510 Mathematik
MSC-Classification (mathematics):14-XX ALGEBRAIC GEOMETRY / 14Txx Tropical geometry [See also 12K10, 14M25, 14N10, 52B20] / 14T05 Tropical geometry [See also 12K10, 14M25, 14N10, 52B20]
Licence (German):Standard gemäß KLUEDO-Leitlinien vom 10.09.2012