Nearest points on toric varieties

• Martin Helmer ^[2] ; Bernd Sturmfels ^[1]
  1. [1] University of Copenhagen

     University of Copenhagen

     Dinamarca

     
  2. [2] University of California (Estados Unidos)
• Localización: Mathematica scandinavica, ISSN 0025-5521, Vol. 122, Nº 2, 2018, págs. 213-238
• Idioma: inglés
• DOI: 10.7146/math.scand.a-101478
• Texto completo no disponible (Saber más ...)
• Resumen

  • We determine the Euclidean distance degree of a projective toric variety. This extends the formula of Matsui and Takeuchi for the degree of the A-discriminant in terms of Euler obstructions. Our primary goal is the development of reliable algorithmic tools for computing the points on a real toric variety that are closest to a given data point