Relative cohomology with respect to a Lefschetz pencil

DOI10.1515/CRELLE.2006.039zbMath1101.32014arXivmath/0112204MaRDI QIDQ5472319

Hossein Movasati

Publication date: 9 June 2006

Published in: Journal fur die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0112204

zbMATH Keywords

critical valuefibrationGauss-Manin connectionrelative cohomologycomplex projective manifoldBrieskorn moduleLefshetz pencil

Mathematics Subject Classification ID

Related Items (5)

Mixed Hodge structure of affine hypersurfaces ⋮ Meromorphic connections on \(\mathbb P^1\) and the multiplicity of Abelian integrals ⋮ The infinitesimal 16th Hilbert problem in dimension zero ⋮ Center conditions: Rigidity of logarithmic differential equations. ⋮ Brieskorn module and center conditions: pull-back of differential equations in projective space

Cites Work

• Logarithmic de Rham complexes and vanishing theorems
• The topology of complex projective varieties after S. Lefschetz
• Petrov modules and zeros of abelian integrals
• Center conditions: Rigidity of logarithmic differential equations.
• Relative differential forms and complex polynomials
• Monodromy of isolated singularities of hypersurfaces
• Preuve d'une conjecture de Brieskorn
• On the periods of certain rational integrals. I, II
• Quasihomogeneous isolated singularities of hyperplanes.
• Algebraic Gauss-Manin systems and Brieskorn modules

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