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Transactions of the American Mathematical Society

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Parametrization of a singular Lagrangian variety

Author: Goo Ishikawa
Journal: Trans. Amer. Math. Soc. 331 (1992), 787-798
MSC: Primary 58C27
MathSciNet review: 1044961
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Abstract: We give stabilization and parametrization theorems for a class of singular varieties in the space of polynomials of one variable and generalize the results of Arnol'd and Givental'. The class contains the open swallowtails and the open Whitney umbrella. The parametrization is associated with the singularity of a stable mapping (in the sense of Thom and Mather) of kernel rank one.

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Keywords: Lagrangian variety, isotropic map, parametrization, stratification
Article copyright: © Copyright 1992 American Mathematical Society