Hyperkähler SYZ conjecture and semipositive line bundles

نویسندگان

  • Misha Verbitsky
  • M. Verbitsky
چکیده

LetM be a compact, holomorphic symplectic Kähler manifold, and L a non-trivial line bundle admitting a metric of semi-positive curvature. We show that some power of L is effective. This result is related to the hyperkähler SYZ conjecture, which states that such a manifold admits a holomorphic Lagrangian fibration, if L is not big.

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تاریخ انتشار 2009