| dc.creator | Auffarth, Robert | |
| dc.creator | Lucchini Arteche, Giancarlo | |
| dc.creator | Quezada, Pablo | |
| dc.date | 2022-04-04 | |
| dc.identifier | https://revistas.ufro.cl/ojs/index.php/cubo/article/view/2953 | |
| dc.identifier | 10.4067/S0719-06462022000100037 | |
| dc.description | Let \(A\) be an abelian surface and let \(G\) be a finite group of automorphisms of \(A\) fixing the origin. Assume that the analytic representation of \(G\) is irreducible. We give a classification of the pairs \((A,G)\) such that the quotient \(A/G\) is smooth. In particular, we prove that \(A=E^2\) with \(E\) an elliptic curve and that \(A/G\simeq\mathbb P^2\) in all cases. Moreover, for fixed \(E\), there are only finitely many pairs \((E^2,G)\) up to isomorphism. This fills a small gap in the literature and completes the classification of smooth quotients of abelian varieties by finite groups fixing the origin started by the first two authors. | en-US |
| dc.format | application/pdf | |
| dc.language | eng | |
| dc.publisher | Universidad de La Frontera. Temuco, Chile. | en-US |
| dc.relation | https://revistas.ufro.cl/ojs/index.php/cubo/article/view/2953/2180 | |
| dc.rights | Copyright (c) 2022 R. Auffarth et al. | en-US |
| dc.rights | https://creativecommons.org/licenses/by-nc/4.0/ | en-US |
| dc.source | CUBO, A Mathematical Journal; Vol. 24 No. 1 (2022); 37–51 | en-US |
| dc.source | CUBO, A Mathematical Journal; Vol. 24 Núm. 1 (2022); 37–51 | es-ES |
| dc.source | 0719-0646 | |
| dc.source | 0716-7776 | |
| dc.subject | Abelian surfaces | en-US |
| dc.subject | automorphisms | en-US |
| dc.title | Smooth quotients of abelian surfaces by finite groups that fix the origin | en-US |
| dc.type | info:eu-repo/semantics/article | |
| dc.type | info:eu-repo/semantics/publishedVersion | |
