TY - JOUR
T1 - Existence of dicritical singularities of Levi-flat hypersurfaces and holomorphic foliations
AU - Beltrán, Andrés
AU - Fernández-Pérez, Arturo
AU - Neciosup, Hernán
N1 - Publisher Copyright:
© 2017, Springer Science+Business Media B.V., part of Springer Nature.
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 - http://www.scopus.com/inward/record.url?scp=85035793855&partnerID=8YFLogxK
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 -