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Colorado State University. Libraries
Moduli spaces of rational graphically stable curves
Abstract
dc:description.abstractWe use a graph to define a new stability condition for the algebraic and tropical moduli spaces of rational curves. Tropically, we characterize when the moduli space has the structure of a balanced fan by proving a combinatorial bijection between graphically stable tropical curves and chains of flats of a graphic matroid. Algebraically, we characterize when the tropical compactification of the compact moduli space agrees with the theory of geometric tropicalization. Both characterization results occur only when the graph is complete multipartite.
Degree
thesis:*- Name thesis:degree_name
- Doctor of Philosophy (Ph.D.)
- Level thesis:degree_level
- Doctoral
- Discipline thesis:degree_discipline
- Mathematics
- Grantor dc:publisher
- Colorado State University. Libraries
- Year dc:date.issued
- 2021
Author and committee
dc:creator, dc:contributor.*- Authors dc:creator
-
- Fry, Andy J., author
- Cavalieri, Renzo, advisor
- Shoemaker, Mark, committee member
- Wilson, James, committee member
- Tavani, Daniele, committee member
Rights
dc:rights- Statement dc:rights
-
- Copyright and other restrictions may apply. User is responsible for compliance with all applicable laws. For information about copyright law, please see https://libguides.colostate.edu/copyright.
- Language dc:language.iso
- eng, English
Identifiers
dc:identifier.*- Identifier URI
- https://doi.org/10.25675/3.02552
- OAI identifier oai:identifier
- oai:mountainscholar.org:10217/233859