Systems of meromorphic microdifferential equations

Orlando Neto

Banach Center Publications (1996)

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

Abstract

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

How to cite

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Neto, 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

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  1. [B] E. Brieskorn and H. Knörrer, Plane Algebraic Curves, Birkhäuser, Boston, 1986. Zbl0588.14019
  2. [D] P. Deligne, Equations différentielles à points singuliers réguliers, Lecture Notes in Math. 163, Springer, Berlin, 1973. Zbl0244.14004
  3. [H] L. Hörmander, The Analysis of Linear Partial Differential Operators III, Springer, Berlin, 1985. Zbl0601.35001
  4. [N1] O. Neto, Blow up for a holonomic system, Publ. Res. Inst. Math. Sci. 29 (1993), 167-233. Zbl0778.58063
  5. [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
  6. [N3] O. Neto, On the structure of regular holonomic systems with irreducible support, in preparation. 
  7. [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. 
  8. [S] P. Schapira, Microdifferential Systems in the Complex Domain, Springer, Berlin, 1985. Zbl0554.32022

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