Solvable groups, free divisors and nonisolated matrix singularities II: Vanishing topology

Brian Pike, James Damon
In this paper we use the results from the first part to compute the vanishing topology for matrix singularities based on certain spaces of matrices. We place the variety of singular matrices in a geometric configuration of free divisors which are the "exceptional orbit varieties" for representations of solvable groups. Because there are towers of representations for towers of solvable groups, the free divisors actually form a tower of free divisors
doi:10.17615/4s8m-8g25 fatcat:iojzhw3vjzhjbbyhihtynu5aui