Real analytic and algebraic singularities
著者
書誌事項
Real analytic and algebraic singularities
（Pitman research notes in mathematics series, 381）
Longman, 1998
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注記
Includes bibliographical references.
Papers from a conference held on the occasion of Tzee-Char Kuo's 60th birthday in 1996.
内容説明・目次
内容説明
This book contains a collection of papers covering recent progress in a number of areas of singularity theory. Topics include blow analyticity, recent progress in the research on equivalence relations of maps and functions, sufficiency of jets, and the transversality theorem. . Geometric and analytic studies of partial differential equations have been developed independently of one another, but the shock wave solutions appearing in natural phenomena are not well understood. Singularity theory may unify these studies and a survey based on this viewpoint is presented in which a new notion of weak solution is introduced. There are also reports on the recent progress in Zariski's conjecture on multiplicities of hypersurfaces, transcendency of analytic sets and on the topology of weighted homogeneous polynomials. This book will be of particular interest to specialists in singularities, partial differential equations, algebraic geometry and control theory.
目次
Foreward
List of participants
Tzee-Char Kuo's contributions to real singularities
Blow-analytic equisingularities, properties, problems and progress
On blow-analytic equivalence of embedded curve singularities
On arc-analytic trivialization of singularities
Blow-analytic retraction onto the central fibre
An example of blow-analytic homeomorphism
The blow analytically constant stratum of real analytic singularities
Sufficiency of jets with respect to L-equivalence
A relative transversality theorem and its applications
Isomorphism of smooth map germs with isomorphic local algebra
Quelques proprietes de la distance geodesique
Relation between equivalence relations of maps and functions
Duality of the second fundamental form
Geometric study of quasilinear first order partial differnetial equations
Geometric approach to blow-up phenomena in non-linear problems
Multiplicity of complex analytic sets and bilipschitz maps
transcendence measures for subsets of local algebras
On topological invariance of weights for quasihomogeneous polynomials
Multiplicity as a C1 invariant
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