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user24328
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Is it possible to realize K3$K3$ surface as a ramified double cover of rational elliptic surface? If so, is there way to see an elliptic fibration structure on K3$K3$ from such cover.? It seems to me one can use the divisor $6H - 2E_{1} - \cdots - 2E_{9}$ and the class $3H - E_{1} - \cdots - E_{9}$ in two fold cover gives the fiber class in K3$K3$?

Is it possible to realize K3 surface as a ramified double cover of rational elliptic surface? If so, is there way to see an elliptic fibration structure on K3 from such cover. It seems to me one can use the divisor $6H - 2E_{1} - \cdots - 2E_{9}$ and the class $3H - E_{1} - \cdots - E_{9}$ in two fold cover gives the fiber class in K3?

Is it possible to realize $K3$ surface as a ramified double cover of rational elliptic surface? If so, is there way to see an elliptic fibration structure on $K3$ from such cover? It seems to me one can use the divisor $6H - 2E_{1} - \cdots - 2E_{9}$ and the class $3H - E_{1} - \cdots - E_{9}$ in two fold cover gives the fiber class in $K3$?

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user24328
user24328
  • 87
  • 4

Question on K3 Surface

Is it possible to realize K3 surface as a ramified double cover of rational elliptic surface? If so, is there way to see an elliptic fibration structure on K3 from such cover. It seems to me one can use the divisor $6H - 2E_{1} - \cdots - 2E_{9}$ and the class $3H - E_{1} - \cdots - E_{9}$ in two fold cover gives the fiber class in K3?