ScalingStacks

Proposition 6.28 . [04L3]

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

Proposition 6.28.

Let f:X→Bf:X\rightarrow B be a Lagrangian fibration satisfying Assumption 6.22. Given a smooth fibre Fb¯F_{\bar{b}} of ff there is a basis γ\gamma of H1​(Fb¯,ℤ)H_{1}(F_{\bar{b}},\mathbb{Z}) and a section σ\sigma of ff, such that ℱ=(X,f,B,σ,γ)\mathcal{F}=(X,f,B,\sigma,\gamma) is symplectically conjugate to a normal form of cylindrical type ℱu,H\mathcal{F}_{u,H}.

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