Moduli spaces of rational graphically stable curves
| dc.contributor.author | Fry, Andy J., author | |
| dc.contributor.author | Cavalieri, Renzo, advisor | |
| dc.contributor.author | Shoemaker, Mark, committee member | |
| dc.contributor.author | Wilson, James, committee member | |
| dc.contributor.author | Tavani, Daniele, committee member | |
| dc.date.accessioned | 2021-09-06T10:26:39Z | |
| dc.date.available | 2021-09-06T10:26:39Z | |
| dc.date.issued | 2021 | |
| dc.description.abstract | We 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. | |
| dc.format.medium | born digital | |
| dc.format.medium | doctoral dissertations | |
| dc.identifier | Fry_colostate_0053A_16782.pdf | |
| dc.identifier.uri | https://hdl.handle.net/10217/233859 | |
| dc.language | English | |
| dc.language.iso | eng | |
| dc.publisher | Colorado State University. Libraries | |
| dc.relation.ispartof | 2020- | |
| 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. | |
| dc.title | Moduli spaces of rational graphically stable curves | |
| dc.type | Text | |
| dcterms.rights.dpla | This Item is protected by copyright and/or related rights (https://rightsstatements.org/vocab/InC/1.0/). You are free to use this Item in any way that is permitted by the copyright and related rights legislation that applies to your use. For other uses you need to obtain permission from the rights-holder(s). | |
| thesis.degree.discipline | Mathematics | |
| thesis.degree.grantor | Colorado State University | |
| thesis.degree.level | Doctoral | |
| thesis.degree.name | Doctor of Philosophy (Ph.D.) |
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