# Systems of meromorphic microdifferential equations

Banach Center Publications (1996)

- Volume: 33, Issue: 1, page 259-275
- ISSN: 0137-6934

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topNeto, Orlando. "Systems of meromorphic microdifferential equations." Banach Center Publications 33.1 (1996): 259-275. <http://eudml.org/doc/262590>.

@article{Neto1996,

abstract = {We introduce the notion of system of meromorphic microdifferential equations. We use it to prove a desingularization theorem for systems of microdifferential equations.},

author = {Neto, Orlando},

journal = {Banach Center Publications},

keywords = {microdifferential equations; logarithmic contact manifold; meromorphic singularity; desingularization; systems of microdifferential equations},

language = {eng},

number = {1},

pages = {259-275},

title = {Systems of meromorphic microdifferential equations},

url = {http://eudml.org/doc/262590},

volume = {33},

year = {1996},

}

TY - JOUR

AU - Neto, Orlando

TI - Systems of meromorphic microdifferential equations

JO - Banach Center Publications

PY - 1996

VL - 33

IS - 1

SP - 259

EP - 275

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

LA - eng

KW - microdifferential equations; logarithmic contact manifold; meromorphic singularity; desingularization; systems of microdifferential equations

UR - http://eudml.org/doc/262590

ER -

## References

top- [B] E. Brieskorn and H. Knörrer, Plane Algebraic Curves, Birkhäuser, Boston, 1986. Zbl0588.14019
- [D] P. Deligne, Equations différentielles à points singuliers réguliers, Lecture Notes in Math. 163, Springer, Berlin, 1973. Zbl0244.14004
- [H] L. Hörmander, The Analysis of Linear Partial Differential Operators III, Springer, Berlin, 1985. Zbl0601.35001
- [N1] O. Neto, Blow up for a holonomic system, Publ. Res. Inst. Math. Sci. 29 (1993), 167-233. Zbl0778.58063
- [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. Zbl0944.32030
- [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. Zbl0554.32022

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