scholarly journals Dicritical singularities and laminar currents on Levi-flat hypersurfaces

2017 ◽  
Vol 81 (5) ◽  
pp. 1030-1043 ◽  
Author(s):  
S I Pinchuk ◽  
R G Shafikov ◽  
A B Sukhov
Keyword(s):  
Dicritical Singularities ◽  
Laminar Currents

scholarly journals Existence of dicritical singularities of Levi-flat hypersurfaces and holomorphic foliations

2017 ◽  
Vol 196 (1) ◽  
pp. 35-44 ◽  
Author(s):  
Andrés Beltrán ◽  
Arturo Fernández-Pérez ◽  
Hernán Neciosup
Keyword(s):  
Holomorphic Foliations ◽  
Dicritical Singularities

On the influence of the free surface on uniformly flowing laminar currents

Meccanica ◽  
1972 ◽  
Vol 7 (1) ◽  
pp. 53-54
Author(s):  
I. Becchi ◽  
G. Seminara
Keyword(s):  
Free Surface ◽  
Laminar Currents

scholarly journals Invariants of germs of analytic differential equations in the complex plane

2005 ◽  
Vol 77 (1) ◽  
pp. 1-11
Author(s):  
Leonardo M. Câmara
Keyword(s):  
Differential Equations ◽  
Complex Plane ◽  
Straightforward Manner ◽  
Dicritical Singularities ◽  
Complete Set

We study the classification of germs of differential equations in the complex plane giving a complete set of analytic invariants determining the analytic type of the underlying foliation. In particular we answer in affirmative a conjecture of S. Voronin, and generalize some previous results about dicritical singularities in a straightforward manner. Such problem has its origins in a conjecture proposed by R. Thom in the mid-1970s.

Laminar currents in ? 2

2003 ◽  
Vol 325 (4) ◽  
pp. 745-765 ◽  
Author(s):  
Romain Dujardin
Keyword(s):  
Laminar Currents

scholarly journals On dicritical singularities of Levi-flat sets

2018 ◽  
Vol 56 (2) ◽  
pp. 395-408 ◽  
Author(s):  
Sergey Pinchuk ◽  
Rasul Shafikov ◽  
Alexandre Sukhov
Keyword(s):  
Dicritical Singularities
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