Classification of singular germs of mappings and deformations of compact surfaces of class VII₀
Georges Dloussky; Franz Kohler
Annales Polonici Mathematici (1998)
- Volume: 70, Issue: 1, page 49-83
- ISSN: 0066-2216
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topGeorges Dloussky, and Franz Kohler. "Classification of singular germs of mappings and deformations of compact surfaces of class VII₀." Annales Polonici Mathematici 70.1 (1998): 49-83. <http://eudml.org/doc/262872>.
@article{GeorgesDloussky1998,
abstract = {We classify generic germs of contracting holomorphic mappings which factorize through blowing-ups, under the relation of conjugation by invertible germs of mappings. As for Hopf surfaces, this is the key to the study of compact complex surfaces with $b_1=1$ and $b₂ >0$ which contain a global spherical shell. We study automorphisms and deformations and we show that these generic surfaces are endowed with a holomorphic foliation which is unique and stable under any deformation.},
author = {Georges Dloussky, Franz Kohler},
journal = {Annales Polonici Mathematici},
keywords = {surfaces of class VII₀; germs of mappings; surfaces of class VII},
language = {eng},
number = {1},
pages = {49-83},
title = {Classification of singular germs of mappings and deformations of compact surfaces of class VII₀},
url = {http://eudml.org/doc/262872},
volume = {70},
year = {1998},
}
TY - JOUR
AU - Georges Dloussky
AU - Franz Kohler
TI - Classification of singular germs of mappings and deformations of compact surfaces of class VII₀
JO - Annales Polonici Mathematici
PY - 1998
VL - 70
IS - 1
SP - 49
EP - 83
AB - We classify generic germs of contracting holomorphic mappings which factorize through blowing-ups, under the relation of conjugation by invertible germs of mappings. As for Hopf surfaces, this is the key to the study of compact complex surfaces with $b_1=1$ and $b₂ >0$ which contain a global spherical shell. We study automorphisms and deformations and we show that these generic surfaces are endowed with a holomorphic foliation which is unique and stable under any deformation.
LA - eng
KW - surfaces of class VII₀; germs of mappings; surfaces of class VII
UR - http://eudml.org/doc/262872
ER -
References
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