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

Andrés Beltrán; Arturo Fernández-Pérez; Hernán Neciosup

doi:10.1007/s10711-017-0303-4

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

Andrés Beltrán
, Arturo Fernández-Pérez
, Hernán Neciosup

Sección de Matemáticas

Universidade Federal de Minas Gerais

Producción científica: Contribución a una revista › Artículo › revisión exhaustiva

5 Citas (Scopus)

Resumen

We study holomorphic foliations tangent to singular real-analytic Levi-flat hypersurfaces in compact complex manifolds of complex dimension two. We give some hypotheses to guarantee the existence of dicritical singularities of these objects. As consequence, we give some applications to holomorphic foliations tangent to real-analytic Levi-flat hypersurfaces with singularities in P².

Idioma original	Inglés
Páginas (desde-hasta)	35-44
Número de páginas	10
Publicación	Geometriae Dedicata
Volumen	196
N.º	1
DOI	https://doi.org/10.1007/s10711-017-0303-4
Estado	Publicada - 1 oct. 2018

Acceder al documento

10.1007/s10711-017-0303-4

Otros archivos y enlaces

Enlace a la publicación en Scopus

Citar esto

@article{f2d3fcd92cbb449ca19625299429bf17,

title = "Existence of dicritical singularities of Levi-flat hypersurfaces and holomorphic foliations",

abstract = "We study holomorphic foliations tangent to singular real-analytic Levi-flat hypersurfaces in compact complex manifolds of complex dimension two. We give some hypotheses to guarantee the existence of dicritical singularities of these objects. As consequence, we give some applications to holomorphic foliations tangent to real-analytic Levi-flat hypersurfaces with singularities in P2.",

keywords = "Dicritical singularities, Holomorphic foliations, Levi-flat hypersurfaces",

author = "Andr{\'e}s Beltr{\'a}n and Arturo Fern{\'a}ndez-P{\'e}rez and Hern{\'a}n Neciosup",

note = "Publisher Copyright: {\textcopyright} 2017, Springer Science+Business Media B.V., part of Springer Nature.",

year = "2018",

month = oct,

day = "1",

doi = "10.1007/s10711-017-0303-4",

language = "English",

volume = "196",

pages = "35--44",

journal = "Geometriae Dedicata",

issn = "0046-5755",

number = "1",

}

TY - JOUR

T1 - Existence of dicritical singularities of Levi-flat hypersurfaces and holomorphic foliations

AU - Beltrán, Andrés

AU - Fernández-Pérez, Arturo

AU - Neciosup, Hernán

PY - 2018/10/1

Y1 - 2018/10/1

N2 - We study holomorphic foliations tangent to singular real-analytic Levi-flat hypersurfaces in compact complex manifolds of complex dimension two. We give some hypotheses to guarantee the existence of dicritical singularities of these objects. As consequence, we give some applications to holomorphic foliations tangent to real-analytic Levi-flat hypersurfaces with singularities in P2.

AB - We study holomorphic foliations tangent to singular real-analytic Levi-flat hypersurfaces in compact complex manifolds of complex dimension two. We give some hypotheses to guarantee the existence of dicritical singularities of these objects. As consequence, we give some applications to holomorphic foliations tangent to real-analytic Levi-flat hypersurfaces with singularities in P2.

KW - Dicritical singularities

KW - Holomorphic foliations

KW - Levi-flat hypersurfaces

UR - https://www.scopus.com/pages/publications/85035793855

U2 - 10.1007/s10711-017-0303-4

DO - 10.1007/s10711-017-0303-4

M3 - Article

AN - SCOPUS:85035793855

SN - 0046-5755

VL - 196

SP - 35

EP - 44

JO - Geometriae Dedicata

JF - Geometriae Dedicata

IS - 1

ER -

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

Resumen

Acceder al documento

Otros archivos y enlaces

Huella

Citar esto