Tags: #subjects/AG
- Defining condition: trivial canonical bundle
- Special case (\(\dim_{\mathbb{C}}= 2\)) of Calabi-Yau manifolds
K3 Surfaces
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2021-04-12
Some motivation for K3 Surfaces : Fermat hypersurfaces \(\sum x_i ^k\) for some fixed \(k\).
Look for \({\mathbb{Q}}{\hbox{-}}\)points, since by homogeneity the denominators can be scaled out to get \({\mathbb{Z}}{\hbox{-}}\)points
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stable homotopy groups of spheres
The K3 Surfaces plays an important role in the third stable homotopy group of spheres.
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Calabi-Yau
\(\dim X = 2\): K3 Surfaces.