论文标题

正面表面的奇异性

Singularities of Frontal Surfaces

论文作者

Muñoz-Cabello, C., Nuño-Ballesteros, J. J., Sinha, R. Oset

论文摘要

我们认为,旋律的额叶表面和有限的额叶编成界面的奇异性。我们查看左右等效性下的分类,并引入折叠类型奇点的额叶化概念。我们定义了尖和横向双点曲线,并证明额叶具有有限的编成时,并且仅当两条曲线减小时。最后,我们还讨论了Marar-Mond公式和Mond的猜想的额叶版本。

We consider singularities of frontal surfaces of corank one and finite frontal codimension. We look at the classification under left-right-equivalence and introduce the notion of frontalisation for singularities of fold type. We define the cuspidal and the transverse double point curves and prove that the frontal has finite codimension if and only if both curves are reduced. Finally, we also discuss about the frontal versions of the Marar-Mond formulas and the Mond's conjecture.

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