Darboux-Halphen-Ramanujan vector field on a moduli of Calabi-Yau manifolds

DOI10.1007/s12346-014-0129-5zbMath1349.53097arXiv1410.0910OpenAlexW3103927815MaRDI QIDQ2342877

Younes Nikdelan

Publication date: 29 April 2015

Published in: Qualitative Theory of Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1410.0910

zbMATH Keywords

Picard-Fuchs equationGauss-Manin connectionHodge structureDarboux-Halphen-Ramanujan vector field

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Calabi-Yau manifolds (algebro-geometric aspects) (14J32) Period matrices, variation of Hodge structure; degenerations (32G20) Variation of Hodge structures (algebro-geometric aspects) (14D07) Moduli, classification: analytic theory; relations with modular forms (14J15) Transcendental methods, Hodge theory (algebro-geometric aspects) (14C30) Ordinary differential equations on complex manifolds (34M45) Dynamical aspects of holomorphic foliations and vector fields (37F75)

Related Items (2)

Gauss-Manin connection in disguise: Calabi-Yau threefolds ⋮ Gauss-Manin connection in disguise: Dwork family

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