We introduce the notion of system of meromorphic microdifferential equations. We use it to prove a desingularization theorem for systems of microdifferential equations.
CMAF, Universidade de Lisboa, Av. Prof. Gama Pinto, 2, 1699 Lisboa, Portugal
Bibliografia
[B] E. Brieskorn and H. Knörrer, Plane Algebraic Curves, Birkhäuser, Boston, 1986.
[D] P. Deligne, Equations différentielles à points singuliers réguliers, Lecture Notes in Math. 163, Springer, Berlin, 1973.
[H] L. Hörmander, The Analysis of Linear Partial Differential Operators III, Springer, Berlin, 1985.
[N1] O. Neto, Blow up for a holonomic system, Publ. Res. Inst. Math. Sci. 29 (1993), 167-233.
[N2] O. Neto, A desingularization theorem for Legendrian curves, in: Singularity Theory, D.T. Lê, K. Saito and B. Teissier (eds.), World Sci., 1995, 527-548.
[N3] O. Neto, On the structure of regular holonomic systems with irreducible support, in preparation.
[SKK] M. Sato, T. Kawai and M. Kashiwara, Microfunctions and Pseudo-differential Equations, in: Hyperfunctions and Partial Differential Equations, Proc. Conf. Katata 1971, H. Komatsu (ed.), Lecture Notes in Math. 287, Springer, Berlin, 1973, 265-529.
[S] P. Schapira, Microdifferential Systems in the Complex Domain, Springer, Berlin, 1985.