Index theorem for a maximally overdetermined system of linear differential equations
Masaki Kashiwara · Proceedings of the Japan Academy Series A Mathematical Sciences · 1973
In this note we state the index theorem for a maximally over- determined system of linear partial differential equations.The theorem comprises as a special case the already known index theorem for an ordinary differential equation (Kashiwara [2], Komatsu [4] and Malgrange [5]).1. Local characteristic.Let (S,x)be a germ o an irreducible analytic space.We define the local characteristic c(S) by the induc-