Quotients of Hypersurfaces in Weighted Projective Space
| dc.creator | Bini, Gilberto | |
| dc.date | 2009-05-13 | |
| dc.date.accessioned | 2026-07-07T13:14:30Z | |
| dc.date.available | 2026-07-07T13:14:30Z | |
| dc.description | In [1] some quotients of one-parameter families of Calabi-Yau varieties are related to the family of Mirror Quintics by using a construction due to Shioda. In this paper, we generalize this construction to a wider class of varieties. More specifically, let $A$ be an invertible matrix with non-negative integer entries. We introduce varieties $X_A$ and $\overline{M}_A$ in weighted projective space and in ${\mathbb P}^n$, respectively. The variety $\overline{M}_A$ turns out to be a quotient of a Fermat variety by a finite group. As a by-product, $X_A$ is a quotient of a Fermat variety and $\overline{M}_A$ is a quotient of $X_A$ by a finite group. We apply this construction to some families of Calabi-Yau manifolds in order to show their birationality. | |
| dc.identifier | https://arxiv.org/abs/0905.2099 | |
| dc.identifier | http://arxiv.org/abs/0905.2099 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/230228 | |
| dc.subject | Algebraic Geometry | |
| dc.title | Quotients of Hypersurfaces in Weighted Projective Space | |
| dc.type | text |