Atıf İçin Kopyala
Zare Y., TANABE S.
JOURNAL OF DYNAMICAL AND CONTROL SYSTEMS, cilt.27, sa.4, ss.799-816, 2021 (SCI-Expanded)
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Yayın Türü:
Makale / Tam Makale
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Cilt numarası:
27
Sayı:
4
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Basım Tarihi:
2021
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Doi Numarası:
10.1007/s10883-021-09556-z
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Dergi Adı:
JOURNAL OF DYNAMICAL AND CONTROL SYSTEMS
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Derginin Tarandığı İndeksler:
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
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Sayfa Sayıları:
ss.799-816
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Anahtar Kelimeler:
Holomorphic foliations, Picard-Lefschetz theory
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Galatasaray Üniversitesi Adresli:
Evet
Özet
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.