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Hi all, I want to ask something about the holomorphic sections on elliptic K3: 1) Is there any obstruction for an ellptic K3 (as an elliptic fibration) to have holomorphic sections? Is that always some number as 240? 2) Is there any known result for ellptic k3 with some complex structure, we can apply the hyperk\"{a}hler rotation to make its holomorphic sections into lagrangian sections? 3) For example, how about E(2) or Fermat's quartic? Thanks a lot! :) |
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holomorphic sections on elliptic K3 surfaceHi all, I want to ask something about the holomorphic sections on elliptic K3: 1) Is there any obstruction for an ellptic K3 (as an elliptic fibration) to have holomorphic sections? Is that always some number as 240? 2) Is there any known result for ellptic k3 with some complex structure, we can apply the hyperk\"{a}hler rotation to make its holomorphic sections into lagrangian sections? 3) For example, how about E(2) or Fermat's quartic? Thanks a lot! :)
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