Selected Papers from the Seminar on Deformations, Lódz-Lublin, 1985/87
Inhaltsverzeichnis
I. Proceedings of the Third Finnish-Polish Summer School in Complex Analysis. - (Quasi) Conformal Deformation. - Some elliptic operators in real and complex analysis. - Embedding of Sobolev spaces into Lipschitz spaces. - Quasiregular mappings from ? n to closed orientable n-manifolds. - Some upper bounds for the spherical derivative. - On the connection between the Nevanlinna characteristics of an entire function and of its derivative. - Foliations. - Characteristic homomorphism for transversely holomorphic foliations via the Cauchy-Riemann equations. - Complex premanifolds and foliations. - Geometric Algebra. - Mo? bius transformations and Clifford algebras of euclidean and anti-euclidean spaces. - II. Complex Analytic Geometry. - Uniformization. - Doubles of atoroidal manifolds, their conformal uniformization and deformations. - Hyperbolic Riemann surfaces with the trivial group of automorphisms. - Algebraic Geometry. - On the Hilbert scheme of curves in a smooth quadric. - A contribution to Keller s Jacobian conjecture II. - Local properties of intersection multiplicity. - Generalized Padé approximants of Kakehashi s type and meromorphic continuation of functions. - Several Complex Variables. - Three remarks about the Caratheodory distance. - On the convexity of the Kobayashi indicatrix. - Boundary regularity of the solution of the ? ? -equation in the polydisc. - Holomorphic chains and extendability of holomorphic mappings. - Remarks on the versal families of deformations of holomorphic and transversely holomorphic foliations. - Hurwitz Pairs. - Hurwitz pairs and octonions. - Hermitian pre-Hurwitz pairs and the Minkowski space. - III. Real Analytic Geometry. - (Quasi) Conformal Deformation. - Morphisms of Klein surfaces and Stoilow s topological theory of analytic functions. - Generalizedgradients and asymptotics of the functional trace. - Holomorphic quasiconformal mappings in infinite-dimensional spaces. - Algebraic Geometry. - Product singularities and quotients of linear groups. - Approximation and extension of C? functions defined on compact subsets of ? n. - Potential Theory. - New existence theorems and evaluation formulas for analytic Feynman integrals. - On the construction of potential vectors and generalized potential vectors depending on time by a contraction principle. - Symbolic calculus applied to convex functions and associated diffusions. - Lagrangian for the so-called non-potential system: the case of magnetic monopoles. - Hermitian Geometry. - Examples of deformations of almost hermitian structures.
