A study for deformation and b-function of isolated singularities on computational algebraic analysis

从计算代数分析的角度研究了代数局部上同调和与几类孤立奇点相连的完整系统，在一定条件下给出了微分算子系统奇点的μ常数变形和b函数根的跳跃公式，并给出了微分阶的一个结果和完整系统的一种构造，这对研究对数比较定理是有用的.

Studying algebraic local cohomologies and holonomic systems attached to several types of isolated singularities from the view point of computational algebraic analysis, formulas concerningμ-constant deformation of singularities and jumps of roots of b-functions are given under some conditions for systems of differential operators.And a result on differential orders and a construction of holonomic systems which is useful for studies of Logarithmic Comparison Theorem is given.