Disproof of modularity of moduli space of CY 3-folds of double covers of P3 ramified along eight planes in general positions
| dc.creator | Gerkmann, Ralf | |
| dc.creator | Mao, Sheng | |
| dc.creator | Zuo, Kang | |
| dc.date | 2007-09-07 | |
| dc.date.accessioned | 2026-07-07T08:28:10Z | |
| dc.date.available | 2026-07-07T08:28:10Z | |
| dc.description | We prove that the moduli space of Calabi-Yau 3-folds coming from eight planes of $P^3$ in general positions is not modular. In fact we show the stronger statement that the Zariski closure of the monodromy group is actually the whole $Sp(20,R)$. We construct an interesting submoduli, which we call \emph{hyperelliptic locus}, over which the weight 3 $Q$-Hodge structure is the third wedge product of the weight 1 $Q$-Hodge structure on the corresponding hyperelliptic curve. The non-extendibility of the hyperelliptic locus inside the moduli space of a genuine Shimura subvariety is proved. | |
| dc.description | 27 pages | |
| dc.identifier | https://arxiv.org/abs/0709.1051 | |
| dc.identifier | http://arxiv.org/abs/0709.1051 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/137520 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14J10 | |
| dc.title | Disproof of modularity of moduli space of CY 3-folds of double covers of P3 ramified along eight planes in general positions | |
| dc.type | text |