On the total order of reducibility of a pencil of algebraic plane curves

DOI10.1016/j.jalgebra.2011.06.006zbMath1235.14029arXiv0812.4706OpenAlexW2077540938MaRDI QIDQ661865

Guillaume Chèze, Laurent Busé

Publication date: 11 February 2012

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0812.4706

zbMATH Keywords

de Rham cohomologypencil of plane curvesreducible fibers

Mathematics Subject Classification ID

Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Plane and space curves (14H50) de Rham cohomology and algebraic geometry (14F40)

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Cites Work

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• Reducibility of rational functions in several variables
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• Théoremes de Bertini et applications
• Equations de Pfaff algébriques
• Singularities and topology of hypersurfaces
• Reducibility of polynomials in two variables
• Effective Noether irreducibility forms and applications
• Reduzibilität ebener Kurven.
• Factoring multivariate polynomials via partial differential equations
• Translates of Polynomials
• Irreducibility of Hypersurfaces

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