Convolution theorem for non-degenerate maps and composite singularities

复合奇点的驯顺性条件与 Milnor 纤维化

Tameness conditions and the Milnor fibrations for composite singularities

本文通过引入新的正则性条件精确刻画复合奇点的驯顺性，建立各分量 Milnor 纤维拓扑之间的联系，研究驯顺性在各类等价下的不变性，并给出 Euler 示性数之间的关系。

Iterated vanishing cycles, convolution, and a motivic analogue of a conjecture of Steenbrink

Using iterated vanishing cycles and convolution, we prove a motivic version of a conjecture of Steenbrink concerning the spectrum of hypersurface singularities

The Lê numbers of the square of a function and their applications

Lê numbers were introduced by Massey with the purpose of numerically controlling the topological properties of families of non-isolated hypersurface singularities and describing the topology associated with a function with non-isolated singularities. They are a generalization of the Milnor number for isolated hypersurface singularities. In this note the authors investigate the composite of an arbitrary square-free f and $z^2$. They get a formula for the Lê numbers of the composite, and consider two applications of these numbers. The first application is concerned with the extent to which the L…