ScalingStacks

Corollary 4.4 [03L5]

Original official author HTML, exact retained edition. Historical TeX conversion verdicts remain unchanged. Cited-edition alignment and mathematical self-containment are not assessed.

Complete original source context · Original author HTML

Corollary 4.4

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

f:(z1,z2,z3)⟼(|z1|2−|z2|2,|z1|2−|z3|2,Im(z1​z2​z3))f:(z_{1},z_{2},z_{3})\longmapsto\bigl(\,|z_{1}|^{2}-|z_{2}|^{2},|z_{1}|^{2}-|z_{3}|^{2},\mathop{\rm Im}(z_{1}z_{2}z_{3})\bigr) (15)

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

Original mathematics by the credited authors. Source-backed reader collection; mathematical self-containment is not assessed.