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Reticular Legendrian singularities - MaRDI portal

Reticular Legendrian singularities (Q700489)

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scientific article; zbMATH DE number 1818527
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Reticular Legendrian singularities
scientific article; zbMATH DE number 1818527

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    Reticular Legendrian singularities (English)
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    22 October 2002
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    Some key notions of singularity theory (stability, infinitesimal stability, holomorphic stability, K-equivalence) are worked out for ``reticular'' Legendrian singularities, i.e. Legendrian map germs arising from the study of function germs modulo diffeomorphisms preserving an ``\(r\)-corner''. These enable the author to classify reticular singularities up to codimension 8, in turn obtaining a classification of generalized wavefronts in manifolds of codimension \(<8.\)
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    Legendre singularities
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    wave fronts
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