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hyperkahler manifolds, complex Lagrangian submanifolds, Mukai flop, integrable systems

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Dominant map from hyperkahler manifolds to normal projective varieties with symplectic singu...

Let me recall some quick definitions. A projective hyperkahler manifold is a simply connected smooth projective variety $M$ such that $H^0(M,\Omega_M^2)=\mathbb C\sigma$, with $\sigma$ an everywhere …
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Dominant map from hyperkahler manifolds to normal projective varieties with symplectic singu...

So apparently I was just being silly and it does indeed follow from the definitions. Let $f:M\dashrightarrow \overline{M}$ be our dominant rational map between a hyperkahler manifold $M$ and a projec …
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