Linear holonomy groups of algebraic solutions of polynomial differential equations
Annales de l'institut Fourier (1997)
- Volume: 47, Issue: 1, page 123-138
- ISSN: 0373-0956
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topSad, Paulo. "Linear holonomy groups of algebraic solutions of polynomial differential equations." Annales de l'institut Fourier 47.1 (1997): 123-138. <http://eudml.org/doc/75223>.
@article{Sad1997,
abstract = {We consider the problem of realization of a linear subgroup of $\{\bf C\}^*$ as the linear holonomy group of an algebraic curve which is a leaf of a foliation of $\{\bf CP\}(2)$.},
author = {Sad, Paulo},
journal = {Annales de l'institut Fourier},
keywords = {foliations in the plane projective space; algebraic leaf; holonomy group; degree of a foliation; theorem of Riemann–Roch; Cousin problem},
language = {eng},
number = {1},
pages = {123-138},
publisher = {Association des Annales de l'Institut Fourier},
title = {Linear holonomy groups of algebraic solutions of polynomial differential equations},
url = {http://eudml.org/doc/75223},
volume = {47},
year = {1997},
}
TY - JOUR
AU - Sad, Paulo
TI - Linear holonomy groups of algebraic solutions of polynomial differential equations
JO - Annales de l'institut Fourier
PY - 1997
PB - Association des Annales de l'Institut Fourier
VL - 47
IS - 1
SP - 123
EP - 138
AB - We consider the problem of realization of a linear subgroup of ${\bf C}^*$ as the linear holonomy group of an algebraic curve which is a leaf of a foliation of ${\bf CP}(2)$.
LA - eng
KW - foliations in the plane projective space; algebraic leaf; holonomy group; degree of a foliation; theorem of Riemann–Roch; Cousin problem
UR - http://eudml.org/doc/75223
ER -
References
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- [8] J. MUCIÑO, Deformations of Holomorphic Foliations having a Meromorphic First Integral, J. Reine Angew. Math., 461 (1995). Zbl0816.32022MR96e:32026
- [9] Y. SIU, Techniques of Extension of Analytic Objects, M. Dekker, 1974. Zbl0294.32007MR50 #13600
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