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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 $2$.

7 votes

Are any two K3 surfaces over C diffeomorphic?

I find this reference quite readable: Le Potier: "Simple connexité des surfaces K3", in Asterisque 126, 1985. I haven't read Kodaira's paper (in Joel's answer), so I don't know whether it is the sam …
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