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Results tagged with k3-surfaces
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user 23917
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 $2$.
14
votes
Mirror symmetry for hyperkahler manifold
Thanks, YangMills, for the references to my papers. I want to elaborate, because I disagree with the statement that mirror symmetry is given by hyperkahler rotation. It may be the case for certain cho …
- 985
3
votes
SYZ mirror symmetry for K3 surfaces
My answer in the link given above is purely at a topological level, saying that
if
we have a $T^2$-fibration, the dual is canonically homeomorphic. However,
$T$-duality should also be viewed as excha …
- 985
6
votes
Accepted
Existence of logarithmic structures and d-semistability
It is true that if $X\subseteq Y$ is a normal crossings divisor, then $Y$ has a log structure whose sheaf of monoids is the sheaf of regular functions invertible outside of $X$. It is also true that t …
- 985