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Book Information

Author(s): H. Zoladek
Title: The monodromy group
Additional book information: Birkhäuser, Basel-Boston-Berlin, 2006, xi+ 580, US$129.00, 978-3-7643-7535-5

[AB]: D.V. Anosov and A.A. Bolibruch, The Riemann-Hilbert problem, Aspects of Mathematics, E22 Friedr. Vieweg & Sohn, Braunschweig, 1994. MR 1276272 (95d:32024)
[AGV1]: V.I. Arnold, S.M. Gusein-Zade, and A.N. Varchenko, Singularities of differentiable maps. Vol. I. The classification of critical points, caustics and wave fronts, Translated from the Russian by Ian Porteous and Mark Reynolds, Monographs in Mathematics, vol. 82, Birkhäuser Boston, Inc., Boston, MA, 1985. MR 777682 (86f:58018)
[AGV2]: V.I. Arnold, S.M. Gusein-Zade, and A.N. Varchenko, Singularities of differentiable maps. Vol. II. Monodromy and asymptotics of integrals, Translated from the Russian by Hugh Porteous. Translation revised by the authors and James Montaldi, Monographs in Mathematics, vol. 83, Birkhäuser Boston, Inc., Boston, MA, 1988. MR 966191 (89g:58024)
[BMM]: A.A. Bolibruch, S. Malek, and C. Mitschi, On the generalized Riemann-Hilbert problem with irregular singularities, Expo. Math. 24, no. 3 (2006), 235-272. MR 2250948
[E]: J. Écalle, Introduction aux fonctions analysables et preuve constructive de la conjecture de Dulac (French) [Introduction to analyzable functions and constructive proof of the Dulac conjecture], Actualites Mathematiques [Current Mathematical Topics], Hermann, Paris, 1992. MR 1399559 (97f:58104)
[G]: A.I. Gladyshev, On the Riemann-Hilbert problem in dimension 4, J. Dynam. Control Systems 6, no. 2 (2000), 219-264. MR 1746973 (2002c:34146)
[G-M]: X. Gomez-Mont, The transverse dynamics of a holomorphic flow, Ann. of Math. (2) 127, no. 1 (1988), 49-92. MR 924673 (89d:32049)
[I1]: Yu. Ilyashenko, Finiteness Theorems for Limit Cycles, American Mathematical Society, Providence, RI, 1991. MR 92k:58221
[I2]: Yu.S. Ilyashenko, editor, Nonlinear Stokes Phenomena, Adv. Soviet Math., vol. 14, Amer. Math. Soc, Providence, RI, 1993. MR 1206041 (94d:32031)
[IKh]: Yu. Ilyashenko and A. Khovanski, Galois groups, Stokes operators and Ramis theorem, Funct. Anal. and Appl 4, no. 3 (1990), 31-42. MR 1092801 (92f:32038)
[IYa]: Yu. Ilyashenko and S. Yakovenko, Lectures on Analytic Differential Equations, in preparation.
[Kh]: A.G. Khovanski, Fewnomials, Translated from the Russian by Smilka Zdravkovska, Translations of Mathematical Monographs, vol. 88, American Mathematical Society, Providence, RI, 1991. MR 1108621 (92h:14039)
[L-N]: A. Lins-Neto, Construction of singular holomorphic vector fields and foliations in dimension two, J. Differential Geom. 26 (1987), 1-31. MR 892029 (88f:32047)
[LR]: F. Loray and J.C. Rebelo, Minimal, rigid foliations by curves on $\mathbb{C}\mathbb{P}\sp{n}$ , J. Eur. Math. Soc. (JEMS) 5, no. 2 (2003), 147-201. MR 1985614 (2006f:37067)
[MS]: J-F. Mattei and E. Salem, Complete systems of topological and analytical invariants for a generic foliation of $(C\sp{2},0)$ , Math. Res. Lett. 4, no. 1 (1997), 131-141. MR 1432816 (98a:32044)

Reviewer(s):
Yulij Ilyashenko
Affiliation: Cornell University; Moscow State and Independent Universities, Steklov Institute
Email: yulij@math.cornell.edu

MSC (2000): Primary 32S65, 34A26, 34A30, 37F75, 58K10, 58K40
DOI: 10.1090/S0273-0979-07-01165-2
PII: S 0273-0979(07)01165-2
Posted: June 22, 2007
Copyright of article: Copyright 2007, American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.

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ISSN 1088-9485(e) ISSN 0273-0979(p)

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