Intermediate Jacobian and Some Arithmetic Properties of Kummer-surface-type CY 3-folds
| dc.creator | Roan, Shi-shyr | |
| dc.date | 2004-07-12 | |
| dc.date | 2005-03-16 | |
| dc.date.accessioned | 2026-07-07T05:10:12Z | |
| dc.date.available | 2026-07-07T05:10:12Z | |
| dc.description | In this article, we examine the arithmetic aspect of the Kummer-surface-type CY 3-folds $\hat{T/G}$, characterized by the crepant resolution of 3-torus-orbifold $T/G$ with only isolated singularities. Up to isomorphisms, there are only two such space $\hat{T/G}$ with $|G|=3, 7$, and both $T$ carrying the structure of triple-product structure of a CM elliptic curve. The (Griffiths) intermediate Jacobians of these $\hat{T/G}$ are identified explicitly as the corresponding elliptic curve appeared in the structure of $T$. We further provide the $\QZ$-structure of $\hat{T/G}$ and verify their modularity property. | |
| dc.description | Latex 13 pages; Typos corrected, New improved and extended version with rational structures of CY spaces completed and their modular property verified | |
| dc.identifier | https://arxiv.org/abs/math/0407193 | |
| dc.identifier | http://arxiv.org/abs/math/0407193 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/71856 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | Number Theory | |
| dc.subject | 11G, 11R, 14H, 14J | |
| dc.title | Intermediate Jacobian and Some Arithmetic Properties of Kummer-surface-type CY 3-folds | |
| dc.type | text |