Systems of meromorphic microdifferential equations

• Autorzy: Orlando Neto
• Języki publikacji: EN

Abstrakty

EN

We introduce the notion of system of meromorphic microdifferential equations. We use it to prove a desingularization theorem for systems of microdifferential equations.

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 1996
• Tom: 33
• Numer: 1
• Strony: 259-275

Daty

wydano

1996

Twórcy

autor

Orlando Neto

• 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.