Hurwitz spaces of triple coverings of elliptic curves and moduli spaces of abelian threefolds
| dc.creator | Kanev, Vassil | |
| dc.date | 2002-07-31 | |
| dc.date | 2003-08-03 | |
| dc.date.accessioned | 2026-07-07T04:49:57Z | |
| dc.date.available | 2026-07-07T04:49:57Z | |
| dc.description | We prove that the moduli spaces A_3(D) of polarized abelian threefolds with polarizations of types D=(1,1,2), (1,2,2), (1,1,3) or (1,3,3) are unirational. The result is based on the study of families of simple coverings of elliptic curves of degree 2 or 3 and on the study of the corresponding period mappings associated with holomorphic differentials with trace 0. In particular we prove the unirationality of the Hurwitz space H_{3,A}(Y) which parameterizes simply branched triple coverings of an elliptic curve Y with determinants of the Tschirnhausen modules isomorphic to A^{-1}. | |
| dc.description | 43 pages, latex2e, some typos corrected, references updated, to appear in Annali di Matematica Pura ed Applicata | |
| dc.identifier | https://arxiv.org/abs/math/0207305 | |
| dc.identifier | http://arxiv.org/abs/math/0207305 | |
| dc.identifier | Ann. Mat. Pura Appl. (4) Vol. 183 (2004), pp. 333 - 374. | |
| dc.identifier | doi:10.1007/s10231-003-0098-9 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/64629 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14K10 (Primary) 14H30, 14D07 (Secondary) | |
| dc.title | Hurwitz spaces of triple coverings of elliptic curves and moduli spaces of abelian threefolds | |
| dc.type | text |