Real and Complex Singularities, Oslo 1976: Proceedings of the Nordic Summer School/NAVF Symposium in Mathematics, Oslo, August 5–25, 1976This volume contains the lectures given at the Nordic Summer School in Mathematics 1976, as well as the papers reported on in the adjoint sym posium. The Summer School was the 9th in the series sponsored by Nordic Research Courses of the Nordic Cultural Commission. The symposium organized in conjunction with the Summer School was made possible through grants from the Norwegian Research Council for Science and Humanities (NA VF). It is definite that the full project could not have succeeded without the support of both organizations, and I would here like to thank the Nordic Cultural Commission and the Norwegian Research Council for making it possible. The present book contains nearly all talks given at the meeting with one notable exception: The elegant exposition of John Mather on the genericity and finite type of the topologically stable maps was not written up in time to be included in the book. The loss is partly made up for by two recent expositions in the Springer Lecture Notes (No. 535 and 552), which, however, both differ from the presentation given at the Summer School. It is to be hoped that Mather's proof will appear ultimately. Finally I take this opportunity to express my gratitude to the staff of the Mathematics Institute, in particular to Mrs Kirkaloff and Mrs Moller. |
Contents
2 Quasianalytic spaces | 27 |
3 Parametric spaces | 49 |
4 Transverse singularities | 61 |
Copyright | |
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Real and complex singularities, Oslo 1976: Proceedings of the Nordic Summer ... Per Holm No preview available - 2011 |
Real and complex singularities, Oslo 1976: Proceedings of the Nordic Summer ... Per Holm No preview available - 1977 |
Real and complex singularities, Oslo 1976: Proceedings of the Nordic Summer ... Per Holm No preview available - 2014 |
Common terms and phrases
a₁ algebraic analytic assume B₁ BEWEIS bundle canonical Chern classes codimension cohomology complete intersection complex complex-analytic complexification coordinates curve cycle defined deformation denote dense diagram diffeomorphism dimension divisor double-point equivalent equivariant equivariant maps exact sequence exakte F₁ fiber fibre finite Flächen flat folgt follows formula functions geometric germ gilt H₁ H²(X Hence holomorphic holomorphic functions hyperplane hypersurface ideal imbedding induced invariant irreducible component isolated singularity isomorphism jacobian lemma Let f linear local ring locally locus lokal manifolds map f Math mixed Hodge structure morphism multiplicity Newton polygon non-singular normal open neighborhood open subset orbit P₁ parametric Plücker formulas polynomial projection PROOF PROPOSITION REMARK resp ring sheaf Singularitäten smooth space stratification structure subanalytic submanifold subscheme subspace surjective tangent theorem topology transverse u₁ vector w₁ Whitney X₁ y₁ z₁