Poincaré series and monodromy of the simple and unimodal boundary singularities

Author:

Ebeling Wolfgang

Publisher

Pleiades Publishing Ltd

Subject

Mathematics (miscellaneous)

Reference19 articles.

1. V. I. Arnol’d, “Critical Points of Functions on a Manifold with Boundary, the Simple Lie Groups B k, C k, and F 4 and Singularities of Evolutes,” Usp. Mat. Nauk 33(5), 91–105 (1978) [Russ. Math. Surv. 33 (5), 99–116 (1978)].

2. V. I. Arnold, V. A. Vasil’ev, V. V. Goryunov, and O. V. Lyashko, Singularities. II: Classification and Applications (VINITI, Moscow, 1989), Itogi Nauki Tekh., Ser.: Sovrem. Probl. Mat., Fundam. Napravl. 39: Dynamical Systems-8. Engl. transl.: V. I. Arnold, V. V. Goryunov, O. V. Lyashko, and V. A. Vasil’ev, Singularity Theory. II: Classification and Applications (Springer, Berlin, 1993), Encycl. Math. Sci. 39: Dynamical Systems VIII.

3. V. I. Arnold, A. N. Varchenko, and S. M. Gusein-Zade, Singularities of Differentiable Maps: Classification of Critical Points, Caustics and Wave Fronts (Nauka, Moscow, 1982); Engl. transl.: V. I. Arnold, S. M. Gusein-Zade, and A. N. Varchenko, Singularities of Differentiable Maps (Birkhäuser, Boston, 1985), Vol. 1, Monogr. Math. 82.

4. V. I. Arnold, A. N. Varchenko, and S. M. Gusein-Zade, Singularities of Differentiable Maps: Monodromy and Asymptotics of Integrals (Nauka, Moscow, 1984); Engl. transl.: V. I. Arnold, S. M. Gusein-Zade, and A. N. Varchenko, Singularities of Differentiable Maps (Birkhäuser, Boston, 1988), Vol. 2, Monogr. Math. 83.

5. N. Bourbaki, Éléments de mathématique, Fasc. XXXIV: Groupes et algèbres de Lie, Chapitres 4, 5 et 6 (Hermann, Paris, 1968).

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