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pro vyhledávání: '"Rudy Rosas"'
Autor:
Rudy Rosas
Publikováno v:
Bulletin of the Brazilian Mathematical Society, New Series. 53:1107-1130
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::bdfc915cd3ce383034d8a7e478ef586b
https://doi.org/10.1007/s00574-022-00297-6
https://doi.org/10.1007/s00574-022-00297-6
Akademický článek
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Publikováno v:
Geometriae Dedicata. 216
In this paper we study holomorphic foliations on $\mathbb{P}^2$ with only one singular point. If the singularity has algebraic multiplicity one, we prove that the foliation has no invariant algebraic curve. We also present several examples of such fo
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::24321b49e0745590c55aa2eab4c30e34
https://doi.org/10.1007/s10711-022-00724-4
https://doi.org/10.1007/s10711-022-00724-4
In this article we provide a version of Chow's theorem for real analytic Levi-flat hypersurfaces in the complex projective space $\mathbb{P}^{n}$, $n \geq 2$. More specifically, we prove that a real analytic Levi-flat hypersurface $M \subset \mathbb{
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3e7eb9432fad7094fd087e780055d65d
http://arxiv.org/abs/2112.02084
http://arxiv.org/abs/2112.02084
We define the Milnor number -- as the intersection number of two holomorphic sections -- of a one-dimensional holomorphic foliation $\mathscr{F}$ with respect to a compact connected component $C$ of its singular set. Under certain conditions, we prov
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6e3a33df16f130c5a0f103bbc80d06db
Publikováno v:
Bulletin of the Brazilian Mathematical Society, New Series. 48:19-28
We study compact invariant sets for holomorphic foliations on Stein manifold. As application, we show some dynamical properties concerning minimal sets (with singularities) of foliations and real analytic Levi-flat hypersurfaces in projective spaces.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::0f5ca7f77a047776e93c6399d4a822a7
https://doi.org/10.1007/s00574-016-0012-x
https://doi.org/10.1007/s00574-016-0012-x
Autor:
Lorena López-Hernanz, Rudy Rosas
We prove that for each characteristic direction $[v]$ of a tangent to the identity diffeomorphism of order $k+1$ in $(\mathbb{C}^{2},0)$ there exist either an analytic curve of fixed points tangent to $[v]$ or $k$ parabolic manifolds where all the or
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2fa0f53d717944b2fafbe67ac20ecc87
A singular real analytic foliation $\mathcal{F}$ of real codimension one on an $n$-dimensional complex manifold $M$ is Levi-flat if each of its leaves is foliated by immersed complex manifolds of dimension $n-1$. These complex manifolds are leaves of
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7af24a8a411e277b5b20580c45cb912b
Autor:
Rudy Rosas
Publikováno v:
Commentarii Mathematici Helvetici. 89:631-670
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::615201c956764ad21de863826eb7124b
https://doi.org/10.4171/cmh/330
https://doi.org/10.4171/cmh/330
Autor:
Rogério Mol, Rudy Rosas
We prove that a $C^{\infty}$ equivalence between germs holomorphic foliations at $({\mathbb C}^2,0)$ establishes a bijection between the sets of formal separatrices preserving equisingularity classes. As a consequence, if one of the foliations is of
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::01b31ed07202d0eb567acda510978697
http://arxiv.org/abs/1611.03004
http://arxiv.org/abs/1611.03004