Configurations of an Articulated Arm and Singularities of Special Multi-Flags
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, 1...
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| Видавець: | Інститут математики НАН України |
|---|---|
| Дата: | 2014 |
| Автори: | , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут математики НАН України
2014
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| Назва видання: | Symmetry, Integrability and Geometry: Methods and Applications |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/146695 |
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| Цитувати: | 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. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
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irk-123456789-1466952019-02-11T01:25:14Z Configurations of an Articulated Arm and Singularities of Special Multi-Flags Pelletier, F. Slayman, M. 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. 2014 Article 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 en Symmetry, Integrability and Geometry: Methods and Applications Інститут математики НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| 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. |
| format |
Article |
| author |
Pelletier, F. Slayman, M. |
| spellingShingle |
Pelletier, F. Slayman, M. Configurations of an Articulated Arm and Singularities of Special Multi-Flags Symmetry, Integrability and Geometry: Methods and Applications |
| author_facet |
Pelletier, F. Slayman, M. |
| author_sort |
Pelletier, F. |
| title |
Configurations of an Articulated Arm and Singularities of Special Multi-Flags |
| title_short |
Configurations of an Articulated Arm and Singularities of Special Multi-Flags |
| title_full |
Configurations of an Articulated Arm and Singularities of Special Multi-Flags |
| title_fullStr |
Configurations of an Articulated Arm and Singularities of Special Multi-Flags |
| title_full_unstemmed |
Configurations of an Articulated Arm and Singularities of Special Multi-Flags |
| title_sort |
configurations of an articulated arm and singularities of special multi-flags |
| publisher |
Інститут математики НАН України |
| publishDate |
2014 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/146695 |
| citation_txt |
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. |
| series |
Symmetry, Integrability and Geometry: Methods and Applications |
| work_keys_str_mv |
AT pelletierf configurationsofanarticulatedarmandsingularitiesofspecialmultiflags AT slaymanm configurationsofanarticulatedarmandsingularitiesofspecialmultiflags |
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2023-05-20T17:25:26Z |
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2023-05-20T17:25:26Z |
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1796153261377454080 |