We present local classification results for isolated singularities of functions with respect to a Nambu structure (multi-vector field) of maximal degree, in a neighbourhood of a smooth point of its degeneracy hypersurface. The results depend on a logarithmic version of the Brieskorn-Sebastiani theorem, which guarantees the finiteness and freeness of the corresponding deformation module. This relates the functional moduli of the classification problem with the integrals of logarithmic forms along the vanishing cycles of the complement of the Milnor fibres of the restriction of the function on the degeneracy hypersurface of the Nambu structure, inside the Milnor fibres of the function itself.

我们提出了关于最大程度的Nambu结构（多矢量场）的退化奇异曲面的光滑点附近的孤立奇异函数的局部分类结果。结果取决于Brieskorn-Sebastiani定理的对数形式，这保证了相应变形模块的有限性和自由度。这将分类问题的函数模与对数形式的积分沿着函数约束在函数本身的米尔诺纤维内部的纳米布结构简并超曲面上的米尔诺纤维的补体的消失循环沿对数形式的积分联系起来。