Abeliants and their application to an elementary construction of Jacobians
| dc.creator | Anderson, Greg W. | |
| dc.date | 2001-12-05 | |
| dc.date.accessioned | 2026-07-07T04:45:37Z | |
| dc.date.available | 2026-07-07T04:45:37Z | |
| dc.description | The {\em abeliant} is a polynomial rule for producing an $n$ by $n$ matrix with entries in a given ring from an $n$ by $n$ by $n+2$ array of elements of that ring. The theory of abeliants, first introduced in an earlier paper of the author, is redeveloped here in a simpler way. Then this theory is exploited to give an explicit elementary construction of the Jacobian of a nonsingular projective algebraic curve defined over an algebraically closed field. The standard of usefulness and aptness we strive toward is that set by Mumford's elementary construction of the Jacobian of a hyperelliptic curve. This paper has appeared as Advances in Math 172 (2002) 169-205. | |
| dc.identifier | https://arxiv.org/abs/math/0112321 | |
| dc.identifier | http://arxiv.org/abs/math/0112321 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/63017 | |
| dc.subject | Number Theory | |
| dc.title | Abeliants and their application to an elementary construction of Jacobians | |
| dc.type | text |