Examples of Calabi-Yau 3-folds of $\mathbb{P}^7$ with $ρ=1$
| dc.creator | Bertin, Marie-Am\' elie | |
| dc.date | 2007-01-18 | |
| dc.date.accessioned | 2026-07-07T07:41:43Z | |
| dc.date.available | 2026-07-07T07:41:43Z | |
| dc.description | We give some examples of Calabi-Yau 3-folds with $ρ=1$, defined over $\mathbb{Q}$ and constructed as 4-codimensional subvarieties of $\mathbb{P}^7$ via commutative algebra methods. We explain how to deduce their Hodge diamond and top Chern classes from computer based computations over some finite field $\mathbb{F}_{p}$. Three of our examples are new. These examples are built out of Gulliksen-Negård and Kustin-Miller complexes of locally free sheaves. Finally, we give two new examples of Calabi-Yau 3-folds of $\mathbb{P}^6$ of degree 14 and 15 that are not deformation-equivalent to the previously known examples of these degrees in $\mathbb{P}^6$ (even though they share the same invariants $(H^3, c_2\cdot H, c_3)$ and $ρ=1$). | |
| dc.description | 23 pages | |
| dc.identifier | https://arxiv.org/abs/math/0701511 | |
| dc.identifier | http://arxiv.org/abs/math/0701511 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/122216 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14J32;14J30;14P99 | |
| dc.title | Examples of Calabi-Yau 3-folds of $\mathbb{P}^7$ with $ρ=1$ | |
| dc.type | text |