2024-03-28T12:22:48Zhttps://eprints.lib.hokudai.ac.jp/dspace-oai/requestoai:eprints.lib.hokudai.ac.jp:2115/452992022-11-17T02:08:08Zhdl_2115_45007hdl_2115_116Parametrization of a Singular Lagrangian VarietyIshikawa, GooLagrangian varietyisotropic mapparametrizationstratification51-xx GEOMETRY410We 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.Department of Mathematics, Hokkaido UniversityDepartmental Bulletin Paperapplication/pdfhttp://hdl.handle.net/2115/45299info:doi/10.14943/49134https://eprints.lib.hokudai.ac.jp/dspace/bitstream/2115/45299/5/pre14.pdfHokkaido University Preprint Series in Mathematics141241987-09engpublisher