On the number of real and complex moduli of singularities of smooth functions and matroid realizations

DOI10.1007/BF01137056zbMath0732.58008MaRDI QIDQ808487

Vera V. Serganova, Victor A. Vassiliev

Publication date: 1991

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

stratificationsingularitiesMilnor numbermatroid theorydifference between real and complex casesmodal character

Mathematics Subject Classification ID

Groups of diffeomorphisms and homeomorphisms as manifolds (58D05) Combinatorial aspects of matroids and geometric lattices (05B35) Germs of analytic sets, local parametrization (32B10) Theory of singularities and catastrophe theory (58K99) Differentiable maps on manifolds (58C25) Manifolds of mappings (58D15) Functions of several variables (26B99)

Cites Work

• The complex exponent of a singularity does not change along strata mu=const
• Le groupe de monodromie du déploiement des singularités isolées de courbes planes. I
• La fonction zeta d'une monodromie
• Bifurcations, Dynkin diagrams, and modality of isolated singularities
• Equisingular Deformations of Plane Algebroid Curves
• The Invariance of Milnor's Number Implies the Invariance of the Topological Type
• Unnamed Item

This page was built for publication: On the number of real and complex moduli of singularities of smooth functions and matroid realizations