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# Documents  58K40 | enregistrements trouvés : 4

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## Singularities in geometry and topology:Strasbourg 2009Proceedings of the 5th Franco-Japanese symposium on singularitiesStrasbourg # august 24-28, 2009 Blanloeil, Vincent ; Ohmoto, Toru | European Mathematical Society 2012

Congrès

- viii; 362 p.
ISBN 978-3-03719-118-7

IRMA lectures in mathematics and theoretical physics , 0020

Localisation : Colloque 1er étage (STRA)

géométrie algébrique # géométrie algébrique non-commutative # géométrie algébrique locale # variétés toqiues

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## Equisingularity of map germs from a surface to the plane Nuño-Ballesteros, Juan José | CIRM H

Multi angle

Research talks;Algebraic and Complex Geometry

Let $(X,0)$ be an ICIS of dimension $2$ and let $f :(X,0)\to\mathbb{C} ^2$ be a map germ with an isolated instability. Given $F : (\mathcal{X} , 0) \to (\mathbb{C} \times \mathbb{C}^2, 0)$ a stable unfolding of $f$, we look to the invariants related to the family $f_s$ and we find relations between them. We obtain necessary and sufficient conditions for $F$ to be Whitney equisingular. (Joint work with B. Orfice-Okamoto and J. N. Tomazella)

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## Singularities of tangent surfaces and generalised frontals Ishikawa, Goo | CIRM H

Multi angle

Research talks;Algebraic and Complex Geometry

Given a space curve, the surface ruled by tangent lines to the curve is called the tangent surface or the tangent developable to the curve. Tangent surfaces were studied by many mathemati- cians, Euler, Monge, Cayley, etc. The tangent surface has necessarily singularities along the original curve (curve of regression). The singularities are classified by Cleave, Mond, Arnold, Shcherbak and so on. In this talk we provide several generalisations of the known classification results. In particular we consider, in one direction, tangent surfaces to possibly singular curves in an ambient space of any dimension with any affine connection. In another direction, we study "abnormal" tangent surfaces to integral curves of a Cartan distribution in five space. The exposition will be performed via a generalised notion of "frontal". Given a space curve, the surface ruled by tangent lines to the curve is called the tangent surface or the tangent developable to the curve. Tangent surfaces were studied by many mathemati- cians, Euler, Monge, Cayley, etc. The tangent surface has necessarily singularities along the original curve (curve of regression). The singularities are classified by Cleave, Mond, Arnold, Shcherbak and so on. In this talk we provide several generalisations ...

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## Functions of several complex variables and their singularities Ebeling, Wolfgang ; Spain, Philip G. | Amercian Mathematical Society 2007

Ouvrage

- xvii; 312 p.
ISBN 978-0-8218-3319-3

Graduate studies in mathematics , 0083

Localisation : Collection 1er étage;Réserve

fonction de plusieurs variables complexes # singularités # invariant d'anneaux locaux analytiques # fibration de Milnor # surface de Riemann # fonction holomorphe # classification de singularités # déformation de singularités

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