A gem of the modular universe
| dc.creator | Hunt, Bruce | |
| dc.date | 1995-03-27 | |
| dc.date.accessioned | 2026-07-07T09:06:25Z | |
| dc.date.available | 2026-07-07T09:06:25Z | |
| dc.description | We introduce one of the most beautiful algebraic varieties known, a quintic hypersurface in projective five-space, which is invariant under the action of the Weyl group of $E_6$. This variety is intricately related with many other moduli problems, some of which are: marked hyperelliptic curves of genus two, Picard curves of genus four with a $\sqrt{-3}$-level structure, six points on the projective line, abelian surfaces with (1,3) polarisations, quartic surfaces invariant under the action of the Heisenberg group in projective three-space, K3-surfaces which are double covers of the projective plane branched along six lines, and last but not least, cubic surfaces in projective three-space. These relationships are developed in some detail, with particular care on the birational aspects. | |
| dc.description | LaTeX 2.09 | |
| dc.identifier | https://arxiv.org/abs/alg-geom/9503018 | |
| dc.identifier | http://arxiv.org/abs/alg-geom/9503018 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/149999 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14J30 | |
| dc.title | A gem of the modular universe | |
| dc.type | text |