The Viro method for construction of \(C^r\) piecewise algebraic hypersurfaces

DOI10.1155/2013/690341zbMath1470.14118OpenAlexW2053834208WikidataQ58916628 ScholiaQ58916628MaRDI QIDQ2318979

Weiping Du, Yisheng Lai, Ren-Hong Wang

Publication date: 16 August 2019

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2013/690341

Mathematics Subject Classification ID

Singularities of curves, local rings (14H20) Topology of real algebraic varieties (14P25)

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Cites Work

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• Solving parametric piecewise polynomial systems
• Real zeros of the zero-dimensional parametric piecewise algebraic variety
• Real plane algebraic curves with prescribed singularities
• Gluing of singular and critical points
• Viro method for the construction of real complete intersections
• Viro theorem and topology of real and complex combinatorial hypersurfaces.
• Singular points and limit cycles of planar polynomial vector fields
• The Viro method for construction of Bernstein-Bézier algebraic hypersurface piece