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- W1996156516 abstract "We give some examples of Calabi-Yau 3-folds with $rho=1$, 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-Negard 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 $(H^3, c_2cdot H, c_3)$ and $rho=1$)." @default.
- W1996156516 created "2016-06-24" @default.
- W1996156516 creator A5084054611 @default.
- W1996156516 date "2007-01-18" @default.
- W1996156516 modified "2023-09-27" @default.
- W1996156516 title "Examples of Calabi-Yau 3-folds of $mathbb{P}^7$ with $rho=1$" @default.
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