Copy For Citation
Zare Y., TANABE S.
JOURNAL OF DYNAMICAL AND CONTROL SYSTEMS, vol.27, no.4, pp.799-816, 2021 (SCI-Expanded)
-
Publication Type:
Article / Article
-
Volume:
27
Issue:
4
-
Publication Date:
2021
-
Doi Number:
10.1007/s10883-021-09556-z
-
Journal Name:
JOURNAL OF DYNAMICAL AND CONTROL SYSTEMS
-
Journal Indexes:
Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Applied Science & Technology Source, Communication Abstracts, Compendex, Computer & Applied Sciences, INSPEC, MathSciNet, Metadex, zbMATH, Civil Engineering Abstracts
-
Page Numbers:
pp.799-816
-
Keywords:
Holomorphic foliations, Picard-Lefschetz theory
-
Galatasaray University Affiliated:
Yes
Abstract
The moduli space of algebraic foliations on P-2 of a fixed degree and with a center singularity has many irreducible components. We find a basis of the Brieskorn module defined for a rational function and prove that pull-back foliations forms an irreducible component of the moduli space. The main tools are Picard-Lefschetz theory of a rational function in two variables, period integrals and Brieskorn module.