Topological enumeration of complex polynomial vector fields
2014 ◽
Vol 35
(4)
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pp. 1315-1344
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Keyword(s):
AbstractThe enumeration of combinatorial classes of the complex polynomial vector fields in$ \mathbb{C} $presented by K. Dias [Enumerating combinatorial classes of the complex polynomial vector fields in$ \mathbb{C} $.Ergod. Th. & Dynam. Sys. 33(2013), 416–440] is extended here to a closed form enumeration of combinatorial classes for degree$d$polynomial vector fields up to rotations of the$2(d- 1)\mathrm{th} $roots of unity. The main tool in the proof of this result is based on a general method of enumeration developed by V. A. Liskovets [Reductive enumeration under mutually orthogonal group actions.Acta Appl. Math. 52(1998), 91–120].
2007 ◽
Vol 79
(1)
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pp. 13-16
2007 ◽
Vol 17
(09)
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pp. 3295-3302
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2016 ◽
Vol 260
(1)
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pp. 628-652
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Keyword(s):
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2007 ◽
Vol 23
(12)
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pp. 2247-2252
2010 ◽
Vol 16
(5-6)
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pp. 463-517
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Keyword(s):
2012 ◽
Vol 33
(2)
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pp. 416-440
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Keyword(s):