Stokes扭振子的振子和模
Skeletons and moduli of Stokes torsors
摘要：
本文证明了Deligne骨架猜想的Stokes扭体的一个类似，并由此导出了C上相对Stokes扭体的函子用有限型仿射有限型概形格式的表示性.这提供了，在特性0，一个本地模拟的存在一个粗模量的骨架有界分歧，由于德利涅。作为应用，我们利用这种模的几何性质，得到了在一个变量中没有任何类似的多元可积微分方程系统的强有限性结果.
英文摘要：
We prove an analogue for Stokes torsors of Deligne's skeleton conjecture and deduce from it the representability of the functor of relative Stokes torsors by an affine scheme of finite type over C. This provides, in characteristic 0, a local analogue of the existence of a coarse moduli for skeletons with bounded ramification, due to Deligne. As an application, we use the geometry of this moduli to derive quite strong finiteness results for integrable systems of differential equations in several variables which did not have any analogue in one variable.
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