189854591
Algebraic unsolvability of the problem of lyapunov stability and the problem of topological classification of singular points of an analytic system of differential equations
120329630
Weak asymptotics for the numbers of solutions of diophantine problems
117386543
Topologically Necessary Singularities on Moving Wavefronts and Caustics
In his posthumous Vorlesungen Uber Dynamik Jacobi claimed that the caustic (formed by the conjugate points of a given initial point along all the geodesics) on the surface of an ellipsoid has four cusps.
121836338
Wave front evolution and equivariant Morse lemma
122136489
Spaces of functions with moderate singularities
122633217
Poisson structures on the plane and other powers of volume forms
The hierarchy of formsf(dx1∧...∧dxn)α (α fixed) starts with the series A, D, and E. Their singular hypersurfaces admit quasihomogéneous polynomials g as representatives. The dimension of the space of moduli of forms with fixed g is calculated; it is equal to the number of monomials h, for which g(hx)α has weight zero. For Poisson structures on the plane (α=−1, n=2) this dimension is one less than the number of irreducible components of the curve g=0, i.e., is equal to the number h1,0 of mixed Hodge structures.
118067094
Singularities of smooth mappings with additional structures : collected papers