Singularities of Differentiable Maps, Volume 2: Monodromy and Asymptotics of Integrals
89.99 CHF
Versandkostenfrei
Lieferzeit: 7-14 Werktage
- Artikel-Nr.: 10292898
Beschreibung
Part I. The topological structure of isolated critical points of functions.- Introduction.- Elements of the theory of Picard-Lefschetz.- The topology of the non-singular level set and the variation operator of a singularity.- The bifurcation sets and the monodromy group of a singularity.- The intersection matrices of singularities of functions of two variables.- The intersection forms of boundary singularities and the topology of complete intersections.- Part II. Oscillatory integrals.- Discussion of results.- Elementary integrals and the resolution of singularities of the phase.- Asymptotics and Newton polyhedra.- The singular index, examples.- Part III. Integrals of holomorphic forms over vanishing cycles.- The simplest properties of the integrals.- Complex oscillatory integrals.- Integrals and differential equations.- The coefficients of series expansions of integrals, the weighted and Hodge filtrations and the spectrum of a critical point.- The mixed Hodge structure of an isolated critical point of a holomorphic function.- The period map and the intersection form.- References.- Subject Index.
Eigenschaften
Breite: | 156 |
Gewicht: | 756 g |
Höhe: | 28 |
Länge: | 27 |
Seiten: | 492 |
Sprachen: | Englisch |
Autor: | Alexander N. Varchenko, Elionora Arnold, S.M. Gusein-Zade |
Bewertung
Bewertungen werden nach Überprüfung freigeschaltet.
Zuletzt angesehen