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arXiv:2202.01982 [math.DS]AbstractReferencesReviewsResources

A complex limit cycle not intersecting the real plane

Ali Taghavi

Published 2022-02-02Version 1

We give a precise example of a polynomial vector field on $\mathbb{R}^2$ whose corresponding singular holomorphic foliation of $\mathbb{C}^2$ possesses a complex limit cycle which does not intersect the real plane $\mathbb{R}^2$.

Journal: Mathematical Analysis&Convex optimization, MACO 2021, 2(2): 67-71
Categories: math.DS, math.CV
Subjects: 37F75, 32M25, 34M35
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