Singular mappings and their zero-forms
Singular mappings and their zero-forms
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DOI：
10.4310/pamq.2020.v16.n5.a9
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发表时间：
2020
影响因子：
0.7
通讯作者：
G. Ishikawa;S. Janeczko
中科院分区：
文献类型：
--
作者：
G. Ishikawa;S. Janeczko
我们研究了 de Rham 复数在奇异映射上的商复数；代数限制复形、几何限制复形和残差复形。证明了拟齐次图胚上代数、几何和残差上同调的消失定理。有限阶和辛零形式在参数奇点上进行了表征。在这种情况下，研究了奇异参数拉格朗日曲面，并使用 R2 到 R4 的 A 简单拉格朗日奇点的分类列表。
We study the quotient complexes of the de Rham complex on singular mappings; the complex of algebraic restrictions, the complex of geometric restrictions and the residual complex. Vanishing theorem for algebraic, geometric and residual cohomologies on quasi-homogeneous map-germs was proved. The finite order and symplectic zero-forms were characterized on parametric singularities. In this context the singular parametric Lagrangian surfaces were investigated, with the classification list of A -simple Lagrangian singularities of R2 into R4.