Arithmetic properties of curves and Jacobians
| dc.contributor.author | Bisogno, Dean M., author | |
| dc.contributor.author | Pries, Rachel, advisor | |
| dc.contributor.author | Achter, Jeffrey, committee member | |
| dc.contributor.author | Cavalieri, Renzo, committee member | |
| dc.contributor.author | Tavani, Daniele, committee member | |
| dc.date.accessioned | 2021-01-11T11:21:00Z | |
| dc.date.available | 2021-01-11T11:21:00Z | |
| dc.date.issued | 2020 | |
| dc.description.abstract | This thesis is about algebraic curves and their Jacobians. The first chapter concerns Abhyankar's Inertia Conjecture which is about the existence of unramified covers of the affine line in positive characteristic with prescribed ramification behavior. The second chapter demonstrates the existence of a curve C for which a particular algebraic cycle, called the Ceresa cycle, is torsion in the Jacobian variety of C. The final chapter is a study of supersingular Hurwitz curves in positive characteristic. | |
| dc.format.medium | born digital | |
| dc.format.medium | doctoral dissertations | |
| dc.identifier | Bisogno_colostate_0053A_16318.pdf | |
| dc.identifier.uri | https://hdl.handle.net/10217/219607 | |
| 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.subject | Galois theory | |
| dc.subject | rational points | |
| dc.subject | Jacobians | |
| dc.subject | curves | |
| dc.title | Arithmetic properties of curves and Jacobians | |
| 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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