Configurations of an Articulated Arm and Singularities of Special Multi-Flags
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Configurations of an Articulated Arm and Singularities of Special Multi-Flags
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| Creator |
Pelletier, F.
Slayman, M. |
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| Description |
P. Mormul has classified the singularities of special multi-flags in terms of “EKR class'' encoded by sequences j1,…,jk of integers (see [Singularity Theory Seminar, Warsaw University of Technology, Vol. 8, 2003, 87-100] and [Banach Center Publ., Vol. 65, Polish Acad. Sci., Warsaw, 2004, 157-178]). However, A.L. Castro and R. Montgomery have proposed in [Israel J. Math. 192 (2012), 381-427] a codification of singularities of multi-flags by RC and RVT codes. The main results of this paper describe a decomposition of each ''EKR'' set of depth 1 in terms of RVT codes as well as characterize such a set in terms of configurations of an articulated arm. Indeed, an analogue description for some ''EKR'' sets of depth 2 is provided. All these results give rise to a complete characterization of all ''EKR'' sets for 1≤k≤4.
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| Date |
2019-02-10T19:07:41Z
2019-02-10T19:07:41Z 2014 |
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| Type |
Article
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| Identifier |
Configurations of an Articulated Arm and Singularities of Special Multi-Flags / F. Pelletier, M. Slayman // Symmetry, Integrability and Geometry: Methods and Applications. — 2014. — Т. 10. — Бібліогр.: 16 назв. — англ.
1815-0659 2010 Mathematics Subject Classification: 53C17; 58K99; 70B15; 70Q05; 93A30 DOI:10.3842/SIGMA.2014.059 http://dspace.nbuv.gov.ua/handle/123456789/146695 |
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| Language |
en
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| Relation |
Symmetry, Integrability and Geometry: Methods and Applications
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| Publisher |
Інститут математики НАН України
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