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Documents  Mond, David | enregistrements trouvés : 3

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Singularities and foliations. Geometry, topology and applications :BMMS 2/NBMS 3, Salvador, Brazil, 2015.proceedings of the 3rd singularity theory meeting, ENSINO, July 8-11, 2015and the Brazil-Mexico 2nd meeting of singularities, July 13-17, 2015 Araújo dos Santos, Raimundo Nonato ; Menegon Neto, Aurélio ; Mond, David ; Saia, Marcelo J. ; Snoussi, Jawad | Springer 2018

Congrès

- x; 553 p.
ISBN 978-3-319-73638-9

Springer proceedings in mathematics & statistics , 0222

Localisation : Colloque 1er étage (SALV)

singularité # foliation # équisingularité # fibration de Milnor # topologie # classification topologique des singularités # déformation # théorie des catastrophes

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Singularity theory :Proceedings of the european singularities conference#Aug. Bruce Bill ; Mond, David | Cambridge University Press 1999

Congrès

- 440 p.
ISBN 978-0-521-65888-1

London mathematical society lecture note series , 0263

Localisation : Collection 1er étage

analyse de plusieures variables complexes # application de la théorie des singularités # espace analytique # singularité complexe # singularité des représentations # stratification # théorie d'équisingularité # théorie de singularité globale

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The intersection form, logarithmic vector fields, and the Severi strata in the discriminant of a plane curve singularity Mond, David | CIRM H

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Research talks;Algebraic and Complex Geometry

This talk will describe ongoing joint work with Paul Cadman and Duco van Straten, based on the PhD thesis of the former. Givental and Varchenko used the period mapping to pull back the intersection form on the Milnor fibre of an irreducible plane curve singularity $C$, and thereby define a symplectic structure on the base space of a miniversal deformation. We show how to combine this with a symmetric basis for the module of vector fields tangent to the discriminant, to produce involutive ideals $I_k$ which define the strata of parameter values $u$ such that $\delta(C_u)\leq k$. In the process we find an unexpected Lie algebra and a still mysterious canonical deformation of the module structure of the critical space over the discriminant. Much of this work is experimental - a crucial gap in understanding still needs bridging. This talk will describe ongoing joint work with Paul Cadman and Duco van Straten, based on the PhD thesis of the former. Givental and Varchenko used the period mapping to pull back the intersection form on the Milnor fibre of an irreducible plane curve singularity $C$, and thereby define a symplectic structure on the base space of a miniversal deformation. We show how to combine this with a symmetric basis for the module of vector fields tangent ...

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