本文给出1-参数勒让德开折与多重勒让德开折的定义并讨论它们的生成族的构造,证得多重函数芽的K-余维估计定理,该结果是对克莱罗型微分方程与完全可积一阶偏微分方程几何奇点进行半局部分类的基础。%The notions of one-parameter Legendrian unfolding and multi-Legendrian unfolding are given,and the structures of their generating families are studied. The theorem of estimate of codimensions for multi-germs under K-equivalence is proved. The results are the basis of semi-local classification of geometric singulatities for the differential equations of Clairaut type and completely integrable holonomic systems of first-order differential equations.
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机译:曼努埃尔·库弗勒(Manuel Couvreur)编辑:18世纪的LeThéâtrede la Monnaie曼努埃尔·库弗勒(Manuel Couvreur),编辑:La Monnaiewagnérienne罗兰·范德霍芬(Roland Van der Hoeven):19世纪LeThéâtrede la Monnaie:抒情剧院的运营限制,1830-1914年曼努埃尔·库弗勒(Manuel Couvreur)和罗兰·范·德·霍文(Roland Van der Hoeven)编辑:拉莫奈(La Monnaie)象征主义者曼努埃尔·库弗勒(Manuel Couvreur)和瓦莱丽·杜福尔(ValérieDufour),编:。La Monnaie entre-deux-guerres