Recovering algebraic curves from L-functions of Hilbert class fields
| dc.contributor.author | Booher, Jeremy | |
| dc.contributor.author | Voloch, Jose | |
| dc.date.accessioned | 2021-10-31T21:08:00Z | |
| dc.date.available | 2021-10-31T21:08:00Z | |
| dc.date.issued | 2020 | en |
| dc.date.updated | 2021-07-16T04:46:26Z | |
| dc.description.abstract | In this paper, we prove that a smooth hyperbolic projective curve over a finite field can be recovered from L-functions associated to the Hilbert class field of the curve and its constant field extensions. As a consequence, we give a new proof of a result of Mochizuki and Tamagawa that two such curves with isomorphic fundamental groups are themselves isomorphic. | en |
| dc.identifier.citation | Booher J, Voloch JF (2020). Recovering algebraic curves from L-functions of Hilbert class fields. Research in Number Theory. 6(4). | en |
| dc.identifier.doi | http://doi.org/10.1007/s40993-020-00222-0 | |
| dc.identifier.issn | 2522-0160 | |
| dc.identifier.issn | 2363-9555 | |
| dc.identifier.uri | https://hdl.handle.net/10092/102799 | |
| dc.language | en | |
| dc.language.iso | en | |
| dc.publisher | Springer Science and Business Media LLC | en |
| dc.rights | All rights reserved unless otherwise stated | en |
| dc.rights.uri | http://hdl.handle.net/10092/17651 | en |
| dc.subject | math.NT | en |
| dc.subject | math.AG | en |
| dc.subject | 11G20 | en |
| dc.subject.anzsrc | Fields of Research::49 - Mathematical sciences::4904 - Pure mathematics::490401 - Algebra and number theory | en |
| dc.subject.anzsrc | Fields of Research::49 - Mathematical sciences::4904 - Pure mathematics::490402 - Algebraic and differential geometry | en |
| dc.title | Recovering algebraic curves from L-functions of Hilbert class fields | en |
| dc.type | Journal Article | en |
| uc.college | Faculty of Engineering | |
| uc.department | Mathematics and Statistics |