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Singularities and duality in the flat geometry of submanifolds of Euclidean spaces.

Mochida, D. K. H.; Romero-Fuster, M. C.; Ruas, M. A. S. — 2001

Beiträge zur Algebra und Geometrie

Classification of $𝒜$ -simple germs from $k^{n}$ to $k^{2}$

J. H. Rieger; M. A. S. Ruas — 1991

Compositio Mathematica

Real deformations and invariants of map-germs

J. H. Rieger; M. A. S. Ruas; R. Wik Atique — 2008

Banach Center Publications

A stable deformation $f^{t}$ of a real map-germ $f : ℝ ⁿ, 0 \to ℝ^{p}, 0$ is said to be an M-deformation if all isolated stable (local and multi-local) singularities of its complexification $f_{ℂ}^{t}$ are real. A related notion is that of a good real perturbation $f^{t}$ of f (studied e.g. by Mond and his coworkers) for which the homology of the image (for n < p) or discriminant (for n ≥ p) of $f^{t}$ coincides with that of $f_{C}^{t}$ . The class of map germs having an M-deformation is, in some sense, much larger than the one having a good real perturbation....

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