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This article is cited in 3 scientific papers (total in 3 papers)
Differential Forms on Zero-Dimensional Singularities
A. G. Aleksandrov V. A. Trapeznikov Institute of Control Sciences of Russian Academy of Sciences, Moscow
Abstract:
In this paper we discuss some problems of the deformation theory of zero-dimensional singularities, which are closely related to the study of properties of differential forms and the Poincaré–de Rham complex. We also investigate the cotangent homology and cohomology of zerodimensional singularities, compute the basic analytic invariants for certain types of such singularities, and examine in detail some interesting examples and applications.
Keywords:
multiple points, fat points, thick points, differential forms, Poincaré lemma, cotangent homology, complete intersections, determinantal singularities, vector fields.
Received: 28.02.2018
Citation:
A. G. Aleksandrov, “Differential Forms on Zero-Dimensional Singularities”, Funktsional. Anal. i Prilozhen., 52:4 (2018), 3–22; Funct. Anal. Appl., 52:4 (2018), 241–257
Linking options:
https://www.mathnet.ru/eng/faa3573https://doi.org/10.4213/faa3573 https://www.mathnet.ru/eng/faa/v52/i4/p3
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