Articles with "codimension" as a keyword



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Minimal Resolutions Over Codimension 2 Complete Intersections

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Published in 2019 at "Acta Mathematica Vietnamica"

DOI: 10.1007/s40306-018-0293-9

Abstract: We construct an explicit free resolution T for a maximal Cohen-Macaulay module M over a local complete intersection of codimension 2 with infinite residue field. The resolution is minimal when the module M is a… read more here.

Keywords: resolution; codimension; complete intersections; minimal resolutions ... See more keywords
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On the C∞ regularity of CR mappings of positive codimension

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Published in 2018 at "Advances in Mathematics"

DOI: 10.1016/j.aim.2018.07.004

Abstract: Abstract The present paper tackles the C ∞ regularity problem for CR maps h : M → M ′ between C ∞ -smooth CR submanifolds M , M ′ embedded in complex spaces of possibly… read more here.

Keywords: codimension; positive codimension; regularity; regularity mappings ... See more keywords
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Abelian integrals in unfoldings of codimension 3 singularities with nilpotent linear parts

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Published in 2017 at "Journal of Mathematical Analysis and Applications"

DOI: 10.1016/j.jmaa.2016.12.042

Abstract: Abstract This paper is concerned with the upper bound of the number of limit cycles in unfolding of codimension 3 planar singularities with nilpotent linear parts. After making a central rescaling, the problem reduces to… read more here.

Keywords: nilpotent linear; codimension; linear parts; abelian integrals ... See more keywords
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Finite groups generated in low real codimension

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Published in 2019 at "Linear Algebra and its Applications"

DOI: 10.1016/j.laa.2019.01.004

Abstract: We study the intersection lattice of the arrangement $\mathcal{A}^G$ of subspaces fixed by subgroups of a finite linear group $G$. When $G$ is a reflection group, this arrangement is precisely the hyperplane reflection arrangement of… read more here.

Keywords: codimension; real codimension; codimension two; arrangement ... See more keywords
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Bursting Dynamics in a Singular Vector Field with Codimension Three Triple Zero Bifurcation

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Published in 2023 at "Mathematics"

DOI: 10.3390/math11112486

Abstract: As a kind of dynamical system with a particular nonlinear structure, a multi-time scale nonlinear system is one of the essential directions of the current development of nonlinear dynamics theory. Multi-time scale nonlinear systems in… read more here.

Keywords: bifurcation; vector field; bursting dynamics; triple zero ... See more keywords
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On the Computation of the Codimension of Map Germs Using the Lie Algebra Associated with a Restricted Left–Right Group

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Published in 2023 at "Symmetry"

DOI: 10.3390/sym15051042

Abstract: The codimension is an important invariant, which measures the complexity of map germs and play an important role in classification and recognition problems. The restricted A-equivalence was introduced to obtain a classification of reducible curves.… read more here.

Keywords: restricted left; map germs; computation codimension; codimension ... See more keywords