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: | urn:nbn:de:hbz:386-kluedo-35289 |
| Advisor: | Andreas Gathmann |
| Document Type: | Doctoral Thesis |
| Language of publication: | English |
| Date of Publication (online): | 2013/06/04 |
| Year of first Publication: | 2013 |
| Publishing Institution: | Technische Universität Kaiserslautern |
| Granting Institution: | Technische Universität Kaiserslautern |
| Acceptance Date of the Thesis: | 2013/05/24 |
| Date of the Publication (Server): | 2013/06/05 |
| Page Number: | 133 |
| Faculties / Organisational entities: | Kaiserslautern - 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 |