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On the need of convexity in patchworking

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Publication:1271890
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DOI10.1006/aama.1997.0571zbMath0932.14032OpenAlexW2053099449MaRDI QIDQ1271890

Jesús A. De Loera, Frederick J. Wicklin

Publication date: 11 November 1998

Published in: Advances in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/aama.1997.0571

zbMATH Keywords

Hilbert's 16th problem\(T\)-curvedepth of nestsreal algebraic schemeViro's method


Mathematics Subject Classification ID

Real algebraic sets (14P05) Arithmetic ground fields for curves (14H25) Topology of real algebraic varieties (14P25)


Related Items

Viro theorem and topology of real and complex combinatorial hypersurfaces.



Cites Work

  • Constructions and complexity of secondary polytopes
  • Piles of cubes, monotone path polytopes, and hyperplane arrangements
  • The polytope of all triangulations of a point configuration
  • Patchworking algebraic curves disproves the Ragsdale conjecture
  • Hilbert's sixteenth problem
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