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Results tagged with k3-surfaces
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user 75616
Questions about K3 surfaces, which are smooth complex surfaces $X$ with trivial canonical bundle and vanishing $H^1(O_X)$. They are examples of Calabi-Yau varieties of dimension $2$.
4
votes
Accepted
K3 surfaces and density of rational curves
The OP requested that I add my comment as an answer:
Your argument in the last paragraph seems to assume that any dense subset of $S$ contains a nonempty open set. That is not true.
Specifically in …
11
votes
Accepted
Is the automorphism group of a Calabi-Yau variety an arithmetic group
The answer for $K3$ surfaces is no. A counterexample, where the group is not even commensurable with an arithmetic group, was given by Totaro in Example 6.3 of this paper.