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Titlebook: New Developments in Singularity Theory; D. Siersma,C. T. C. Wall,V. Zakalyukin Book 2001 Springer Science+Business Media Dordrecht 2001 Me

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Frobenius manifolds and variance of the spectral numbersA Frobenius manifold is a complex manifold with a multiplication and a metric on the holomorphic tangent bundle and two distinguished vector fields, satisfying a series of natural conditions.
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On Stokes Setsram in the space of monic polynomials of given degree (the precise definition is given in section 5). As it turns out, their structure is intimately connected to other bifurcation diagrams (of quadratic differentials, or of Smale functions), and to various combinatorial structures, most prominent am
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Resolutions of discriminants and topology of their complements polynomials with multiple roots, . sets of polynomial systems having common roots, spaces of functions with degenerate singular points, of non-smooth algebraic varieties, of linear operators with zero or multiple eigenvalues, of smooth maps .. →.. (. ≥ 3) having singular or self-intersection points
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Classifying Spaces of Singularities and Thom Polynomials some differential geometry structures. A classical example is the Hopf theorem expressing the Euler characteristic of a manifold via singular points of a vector field on it. Another example is the Maslov class of a Lagrange submanifold in the cotangent bundle defined as the cohomology class Poincar
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On the preparation theorem for subanalytic functions The preparation theorem was introduced in [.] as one of the main tools in proving the existence of a Lipschitz stratification for subanalytic sets. Later it was used by J.-M. Lion and J.-P. Rolin to study various properties of singular sets such as for instance: integration on subanalytic sets, o-m
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