ScalingStacks

3.2.2 Surfaces [03TU]

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3.2.2 Surfaces

Let (X,ω)(X,\omega) be a surface and π:X→B0=𝐑\pi:X\rightarrow B_{0}={\bf R} be an arbitrary smooth proper function with isolated critical points. Then (X,π,B0)(X,\pi,B_{0}) is an integrable system. Space BB of connected components of fibers is a graph, and 𝐙{\bf Z}-affine structure on Bs​m⊂BB^{sm}\subset B gives a length element on edges of BB.

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