ScalingStacks

Corollary 4.2 [03L3]

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Corollary 4.2

The map f:ℂ3→ℝ3f:\mathbin{\mathbb{C}}^{3}\rightarrow\mathbin{\mathbb{R}}^{3} defined by

f:(z1,z2,z3)⟼(|z1|2−|z2|2,Re(z1​z2),Im(z3))f:(z_{1},z_{2},z_{3})\longmapsto\bigl(\,|z_{1}|^{2}-|z_{2}|^{2},\mathop{\rm Re}(z_{1}z_{2}),\mathop{\rm Im}(z_{3})\bigr) (11)

is a smooth special Lagrangian fibration of ℂ3\mathbin{\mathbb{C}}^{3}.

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